While my hands aren't too bad I have always suffered cold feet, I know its a physical impossibility but I swear mine can radiate cold at night. I need an external heat source to warm them up (I tend to have a hot water bottle most of the year), just wearing bed socks doesn't work. If I haven't got the hot water bottle, they just get colder and colder through the night and more and more painful. I have ended up walking around the house in the middle of the night as the exercise does seem to help a bit.
I have always blamed the problem on poor circulation as I had it for years before I was even diagnosed as pre diabetic.
I remember how I used to hate going swimming as my feet would be so cold when I got in the water that if felt like the water was boiling, then by when I was in up to my waste it would feel like the water was freezing even though my feet were still burning. Jumping in was always too much of a shock to the system as my body did not seem to know how to react.
Good socks, shoes and gloves certainly help, I have long given up on fashion in preference to comfort and a bowl of warm water to make sure the hands are as warm as possible before pricking my fingers for blood tests.