@raynbow- The best thing you can do to prevent your hands from becoming dry and chapped is to apply lotion each time you wash them.
Immediately after washing your hands thoroughly, dry them completely with a soft hand towel or paper towels. Next, rub a good moisturizing lotion all over both hands. Repeat this with every hand washing to keep your hands soft and smooth.
If you don't like to use lotion, you can also try using liquid soap that contains moisturizers in it when you wash your hands. However, I have found that this doesn't work as well as applying lotion after washing them because you end up washing off most of the moisturizers when you rinse your hands.