What is it like living on your boat in the winter ?
I have a diesel-fired forced-air heater that keeps the boat very warm and allows me to keep five ventilators open so that the air is fresh.
When we get ice and snow in the Chesapeake it doesn't last long -- a week at most and even that is rare. I keep my aft deck and side decks clear, with attention to the deck drains and don't worry about the deck forward. I might be more concerned if the snow was deeper.
Being in the boat is not much different in winter than in summer (perhaps quieter without A/C running).
I don't use plastic on my boat. When there is a warm day I mop the decks and do an inspection. It's much less work than the house I used to live in.
The biggest issues are getting water into the tanks, hauling laundry on and off the boat, and getting groceries aboard when the docks are slick.