See a dermatologist for recommendations. Their are excellent treatments for Eczema, but they are prescriptions.

Eczema is usually localized to the flexural folds (inside of elbows, behind the knees, even eyelids). A visit to a board certified dermatologist should outline a program for safe products that will help prevent eczema, as well as prescription medication to treat. I generally recommend moisturizing soaps and applying a lotion or cream after each shower. This keeps the moisture in your skin. Most treatments target the affected sites. We have prescription strength creams, ointments, foams, lotions, etc. That will be selected for you. We also have non cortisone alternatives such as Eludel, Protopic, and Eucrissa. For widespread eczema we also have Prednisone, pills for short term use, and Dupixent.

ONE WORD: MOISTURIZE. If that fails, please check with your local dermatologist.