Every Winter I get chapped hands because of the cold weather, and also because I wash my hands a lot.
I find this really helps;
Put about 50g of Shea body butter (you can get a good one from 'The Body Shop'),
into a small jar and mix in about 20 drops of pure essential oil of myrrh.
It feels lovely and warm and comforting as you massage it into your hands, and helps heal all those itchy, bleeding little cuts overnight.
I also put it on in the morning to protect my hands from the cold wind (as well as wearing gloves of course!).