Prior to this year, I've been taking the family on carless ski trips for the last couple of years. Two years ago, Whitefish, MT, you can stay downtown and there's a shuttle to the mountain, I think it was every 15 minutes, 10 min ride . . . whatever it was easy, and the town was super nice and completely walkable. We had a nice hotel room for $100 a night. The mountain is awesome, great runs, uncrowded lifts, but it can be cold. Lots of condos on the mountain also.
Last year, we went to B.C., but stayed with friends in Vancouver. At least one of the local mountains there can be accessed via a cab and gondola ride or you can catch a shuttle to Whistler. Whistler is epic, maybe best mountain in the world, the local mountains are not, but if you manage to catch them when the weather is still cold, they are relatively low stress and maybe plenty fun for a beginner. Good luck!
We've been to Tahoe for weekends plenty also, but I'd rate nothing in Tahoe as good without a car. That place is made for driving in. There are lots of great mountains there though, the snow can be too wet a lot, but not always.