hi joce, i would highly reccomend you to go see a dermatologist.
i have eczema too - mostly due to food allergy or temperature change e.g too hot or too cold
one of the reason it could be is that your skin is too dry and needs to be moisturize - that's what my derm told me. i was told to steer off soaps and detergents, use bath oils.
a solution is to try to moisturise your hands with a hand cream every two hours.