Can you please describe the best ways for getting rid of persisting eczema?

Try this....: Get a prescription for Clarithromycin 500mg bid and use a topical anti-fungal agent. It works!

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.