I moved to a snow city for the first time well into adulthood.
The big thing I have for you is that walking on snow is awesome for like two hours and then it's constantly threatening to kill you. Slippery sludge or ice is the worst feeling in the universe and all the locals will just strut right over it like it's nothing while you're fighting for your life.
Just buy good shoes and plant your feet vertically, no sliding motions.