Moisturize. Part of the defect in eczema skin is the absence of a lipid called ceramides. This causes dry peeling skin and subsequent inflammation. The inflammatory process is further driven by histamine release. The "natural" way to treat eczema is to replenish the oils in the skin. Moisturizing is the most important component of eczema treatment, ie with cerave and cetaphil.
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.