Moisturize; HC cream. For mild to moderate eczema, Hydrocortisone 1% cream (use a thin coat on the rash, twice a day, for 5-10 days) is cheap, available at most stores, and works well. A daily moisturizing cream used 2-4 times a day helps to heal eczema & to prevent return of the rash. Examples: cetaphil, cerave, eucerin. Some people avoid creams with lanolin, aloe, or fragrances due to sensitivity to the ingredients.
Protect. Avoid things that make you break out, soaps & wetness. Wash your hands only when necessary. Wear gloves when needed. Wear clothes made of cotton. Bathe only with a small amount of mild unscented soap, such as dove. Keep the water temperature cool or warm, not hot. Use the medicine your doctor gave you. Use a plain moisturizer daily. Avoid scratching or rubbing the itchy area. Manage stress.