If you're interested in getting aeropress, I can highly recommend getting the Fellow Prismo attachment. It uses metal filter with the added bonus of not leaking any coffee before some pressure is applied.
Cloth filters are the way to go then (for filtered, nothing wrong with French press). V60, aeropress, and pretty much every pourover can be done with cloth. Practically no waste if you take care of them, though more energy usage than a French press. Maybe not if you take into account production emmissions, but then we are splitting hairs.