Now for what I do for winter shots. First of all the time of day is even more important than, say, summer time. The days are short so catching early or late light is a very real consideration. And after all these years I have noted that no matter what, the sun doesn’t wait. Right after a big storm is great. Wind swept hills, valley and ridge line offer unique framing/photo opportunities. Also snow on the trees doesn’t last long. As do unique lines on the ground. If it’s a gray over cast day I don’t shoot landscapes. Up close things yes, but I don’t like flat, white skies. For equipment it depends on where I am going. If driving, everything goes. If snow shoeing or hiking I take a much smaller pack and carry the basics. Usually my close up lens will stay home. If I am skiing it is probably a fanny pack with two lenses. Always extra batteries. I haven’t done this but I have ski pole baskets to put on the bottom of my tripod legs. Just tape them on with masking tape and remove when not needed.
Exposure on snow has always been a problem. I use to allow 3/4 to 1 f stop over. I remember many years ago taking pictures of some friends skiing. They were almost black and the snow a dirty gray. Take a meter reading on the skiers and then set to manual so the exposure does't change. To be safe you can always bracket. Side light landscape shots as best you can. Icicles and frozen water falls are spectacular. If they are in bright sunlight color should be good. If the ice falls is in the shade open up some. Ouray has great ice climbing and you can photo the climber almost from your car. Fill flash would be a great extra, too. Photographing skiers. Meter on them or open 3/4 to 1 stop. Try each and see. Clouds and valley fog are always special. Watch for the right light. With a long lens elk are always around. I have walked very slowly towards them and when they start to move I stop. I let them relax and move slowly towards them again