how should/could laundry work?

Probably just do commcerial laundries. For most of human history there have been professional clothes launderers. You bag up your clothes at the end of the week, they pick up the bags, wash everything, and send it back to you the next day or whatever. It's been handled at all levels from individual mostly women doing laundry for clients to pretty substantial operations serving large numbers of people at once.

Right now hospitals and hotels have laundry systems with pretty high throughput. It's very doable and largely a solved problem.

I will ban clothes

Laundromats are fine, but actually, I could imagine there being a launderer that collects bins of laundry at a municipal level like they already do for garbage (and recycling and compost in some places!)

The laundry collector can be a community hero much like the garbage collector, with good compensation for their time doing a dirty and socially necessary job.

EDIT Oh someone already said that. Well. I agree!

Communal laundry rooms with washers only, one room with several machines per floor in the commie block. The machines are owned in common by everyone in the building. Everyone has this kind of dryer in the bathroom.

What's the evidence that washing machines are not efficient? They probably use less water than a human would.

Having said that, maybe there's a better designed machine or something that hasn't been invented yet?

just wear the clothes in the shower with you

As to washing up! Where can we find a housewife who has not a horror of this long and dirty work, that is usually done by hand, solely because the work of the domestic slave is of no account.

In America they do better. There are already a number of cities in which hot water is conveyed to the houses as cold water is in Europe. Under these conditions the problem was a simple one, and a woman – Mrs. Cochrane – solved it. Her machine washes twelve dozen plates or dishes, wipes them and dries them, in less than three minutes. A factory in Illinois manufactures these machines and sells them at a price within reach of the average middle-class purse. And why should not small households send their crockery to an establishment as well as their boots? It is even probable that the two functions, brushing and washing up, will be undertaken by the same association.

Cleaning, rubbing the skin off your hands when washing and wringing linen; sweeping floors and brushing carpets, thereby raising clouds of dust which afterwards occasion much trouble to dislodge from the places where they have settled down, all this work is still done because woman remains a slave, but it tends to disappear as it can be infinitely better done by machinery. Machines of all kinds will be introduced into households, and the distribution of motor-power in private houses will enable people to work them without muscular effort.

Such machines cost little to manufacture. If we still pay very much for them, it is because they are not in general use, and chiefly because an exorbitant tax is levied upon every machine by the gentlemen who wish to live in grand style and who have speculated on land, raw material, manufacture, sale, patents, and duties.

But emancipation from domestic toil will not be brought about by small machines only. Households are emerging from their present state of isolation; they begin to associate with other households to do in common what they did separately.

In fact, in the future we shall not have a brushing machine, a machine for washing up plates, a third for washing linen, and so on, in each house. To the future, on the contrary, belongs the common heating apparatus that sends heat into each room of a whole district and spares the lighting of fires. It is already so in a few American cities. A great central furnace supplies all houses and all rooms with hot water, which circulates in pipes; and to regulate the temperature you need only turn a tap. And should you care to have a blazing fire in any particular room you can light the gas specially supplied for heating purposes from a central reservoir. All the immense work of cleaning chimneys and keeping up fires – and woman knows what time it takes – is disappearing.

Candles, lamps, and even gas have had their day. There are entire cities in which it is sufficient to press a button for light to burst forth, and, indeed, it is a simple question of economy and of knowledge to give yourself the luxury of electric light. And lastly, also in America, they speak of forming societies for the almost complete suppression of household work. It would only be necessary to create a department for every block of houses. A cart would come to each door and take the boots to be blacked, the crockery to be washed up, the linen to be washed, the small things to be mended (if it were worth while), the carpets to be brushed, and the next morning would bring back the things entrusted to it, all well cleaned. A few hours later your hot coffee and your eggs done to a nicety would appear on your table. It is a fact that between twelve and two o’clock there are more than twenty million Americans and as many Englishmen who eat roast beef or mutton, boiled pork, potatoes and a seasonable vegetable. And at the lowest figure eight million fires burn during two or three hours to roast this meat and cook these vegetables; eight million women spend their time preparing a meal which, taking all households, represents at most a dozen different dishes.

“Fifty fires burn,” wrote an American woman the other day, “where one would suffice!” Dine at home, at your own table, with your children, if you like; but only think yourself, why should these fifty women waste their whole morning to prepare a few cups of coffee and a simple meal! Why fifty fires, when two people and one single fire would suffice to cook all these pieces of meat and all these vegetables? Choose your own beef or mutton to be roasted if you are particular. Season the vegetables to your taste if you prefer a particular sauce! But have a single kitchen with a single fire and organize it as beautifully as you are able to.

Why has woman’s work never been of any account? Why in every family are the mother and three or four servants obliged to spend so much time at what pertains to cooking? Because those who want to emancipate mankind have not included woman in their dream of emancipation, and consider it beneath their superior masculine dignity to think “of those kitchen arrangements,” which they have put on the shoulders of that drudge – woman.

To emancipate woman, is not only to open the gates of the university, the law courts, or the parliaments to her, for the “emancipated” woman will always throw her domestic toil on to another woman. To emancipate woman is to free her from the brutalizing toil of kitchen and washhouse; it is to organize your household in such a way as to enable her to rear her children, if she be so minded, while still retaining sufficient leisure to take her share of social life.

It will come. As we have said, things are already improving. Only let us fully understand that a revolution, intoxicated with the beautiful words, Liberty, Equality, Solidarity, would not be a revolution if it maintained slavery at home. Half humanity subjected to the slavery of the hearth would still have to rebel against the other half.

Conquest of Bread, Chapter 10.2

This is a utopian answer, but you asked a utopian question. I couldn't find a Marxist who wrote about this.

I don't think it has to be one way. Maybe some people have their own units, maybe other places have communal units, maybe certain places have industrial launderers. It'll depend a lot on the conditions specific to each location.

Personally I lean towards communal units with anything that only gets used once a week or less (and takes up space and/or a decent chunk of resources to produce). Boats, laundry machines, power tools, trucks, guns, whatever.

If we all wear the Half Life 2 blue jumpsuits can I just get a clean one in my size? I don't care about specifically getting back my jumpsuit

Washing clothes by hand sucks

it doesn't suck that much, i could see people rotating out this task like any other chore. idk how necessary that would be though, im not sure how energy/water efficient washing machines are

you don't need a washer and a dryer in every unit, but you can have like 2 washers, a heated drying room with good ventilation and a tumble drier per, like, 20 units. a communal laundry room where you book a time slot like once every week or two weeks. very common in Scandinavian rental blocks.

a Valtori seems fun.