Mine did that last year when it was really cold outside. They were so dried out, they had cracks in them, making it hurt even more. Nothing seemed to work, until my friend told me to coat them with vaseline good, and put latex gloves on before going to bed. Believe it or not, (yes it sounds stupid) it worked great!!!
I have the same problem, mostly in the winter time. Don't know about home remedies but I sell Mary Kay Cosmetics and Skin care. There's a product called Satin Hand Cream that I use and I love it! It provides hours of moisturization and lasts through hand washings too. I have samples I can send you for free if you're interested.