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.
Moisturize/cortisone. To treat mild or moderate atopic dermatitis, Hydrocortisone 1% cream (use a thin coat on the rash, twice a day, for 5-10 days) is cheap, found 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. One can avoid creams with lanolin, aloe, or fragrances if sensitive to the ingredients.
Several. Most importantly is to keep a good follow up with a your doctor/doctor experienced in managing the condition as dermatologist or allergist, skin care and good hydration is a cornerstone in management, and avoiding offending agents as much as possible, the rest is left to the prescribing physician.