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Anon, walks in the woods during winter are the best. Snow, ice, frosty ground, it's all good and it's so bright and sunny on a clear day. You'll be fine!
I do all the activities you listed (not snowshowing because I just deal with hip-deep snow and trudge through it), but they're all fun and worthwhile. I still think I prefer the walking in the snow to the winter sports †bh