You may receive a prescription for a corticosteroid medication to put on your eczema. (Hint: It will soothe your itching better if you keep it in the refrigerator.) Use topical corticosteroids only as needed—that is, when your hand eczema is actively flaring. Prolonged use of these drugs can cause thinning of the skin, and there are other side effects to consider as well.
Perhaps your doctor will recommend a non-corticosteroid topical medication such as tacrolimus (Protopic) or pimecrolimus (Elidel). These agents are approved for use by adults and children two years of age or older, and they do avoid many of the side effects of corticosteroids. They should not be used long-term on sun-exposed portions of skin, like the backs of the hands; sunscreen must always be used.
Beyond that, clearing up your hand eczema depends largely on how you change your day-to-day habits. These changes may be difficult.