Although I agree with a lot that fishful said, if you're not using the car for commuting, there is no need for snows; after all it just means you won't do optional trips for a week, until the snow melts (I can only think of 2-3 times in the last 30 that it lasted more than one week.).
The townhouse my son lives in on Capitol hill provides one parking spot; there are few other parking places available in most of the downtown core. My son's gf has one, but apparently recently got broken into and had the gps stolen (un-secured and doesn't move much.)
Downtown Seattle has the most expensive rents (averaging around $2.50/sf), although downtown Bellevue, downtown Kirkland are right there, too. Seattle is better for transit connections, in general.
BTW: it snowed in the higher hills around Seattle today. No problems; didn't stick very much.