Remember; layers work on EVERY part of your body; head, hands, torso, legs. Best to start off cool, and warm up. Winter hiking is all about moderating your core; dont sweat. If you're overheating, remove a layer. If you're still overheating, slow down. When you stop, don hat & jacket.
Layer your hands too. I go with a thin glove liner, a set of ragg wool half gloves, with the top that folds over to make them mittens, then an outer OR nylon mitt (they make them in goretex, but, the hands dont sweat enough, dont fall into that trap. Waterproof nylon is all you need). I am doing some extended snowshoeing tomorrow, testing out some gear, and its supposed to be in the mid 20's. I am carrying alot of extra clothing, but will likely not wear it unless I am standing still.