So, you get cold feet symptoms. With the hands it might get hard to grasp things and make movements (keyboard typing, for example), almost as though the fingers were numb!
One thing doctors advise is "bundle" take out warm clothes from the wardrobe and wear gloves, socks etc.
In some cases it have to do circulation, mainly the extremities that get less oxygen that it should do, but in winter seasons it certainly a normal thing. But sensible clothing also works here!
Ah, in a more terser way - but a bit on the formal side - in cold wheater my toes and fingers usually constrict! In a more slangy way "they get icy/cold".