It may be eczema. Try to keep some good lotion on one that works for me is Eucerin Plus Intensive Repair Hand cream. You can use that on your legs and hands but I wouldn't use it on the face. It leaves a coating that protects the skin. I 've tried a lot of things like bag balm and other creams and this seems to work the best for me.
Yup Urticaria (hives) there is even a aquatic Urticaria when showering and water brings them out..If you go to the search engine and put it in you will see how mant types there are caused by many things .There is also somehing called Dermographism , I get is on occasions some call it skin writing ...weird I have learned to live with it .
A body can do some weird things when it gets cold. But I've never heard of hives or had hives that acted like that. (Although I get hives like I got chicken pox- EVERYWHERE.) If it's how your body has reacted for years, then it doesn't sound life threatening. However, because some of these things can be symptoms of bigger problems unknown, I suggest you bring it up with your dr. If they disappear quickly, take a picture of them while you have them. He might have an answer for you.