You should go to a good dermatologist and have your checkup. I'm giving you some precautions of which you can take care.
1. Protecting hands against harsh soaps, cleansers, and other chemicals by wearing gloves.
2. Using an automatic dishwasher as much as possible.
3. Using lukewarm water and a mild soap when washing the hands, and always apply a dermatologist-recommended ointment or cream immediately after washing.
4. To keep hands soft and supple, apply the dermatologist-recommended product frequently throughout the day.
5. When outdoors in cool weather, wear gloves to prevent dry, chapped skin.