If you want to 'see' and 'ski' Canada. I would suggest, Montreal or Quebec, Toronto, Calgary/Banff/Lake Louise, and Vancouver/Whistler.

Montreal and Quebec will give you a taste of French Canada. Montreal is very vibrant city with great cultural diversity.

Toronto is a great city as well, but not the best time of year to visit.

Calgary for the access to the Rocky Mountains. The ski hills will be open, but the skiing generally improves as the season moves along. Don't expect great conditions in Nov/Dec...it's much better in Feb/Mar/Apr. But you still see lots of snow.

Vancouver just because it's a great world class city.

Keep in mind that the weather could vary drastically at that time of year. Vancouver will not be cold...at least to us Canadians, but Montreal and Toronto could very well be cold, damp and snowy. Calgary could be anything from -30 to +15 Celcius at that time of year.

Be sure to attend an NHL game while your here.

Enjoy your Canadian adventure...as for me I'm heading to your part of world for winter vacation this year...Thailand, Cambodia and hopefully Burma.