Don't take showers that are too hot. They always feel great, but can irritate very sensitive skin. If eczema bothers you, limit your hot showers. Keep the water at room temperature when you shower. Gently clean skin with a gentle cleanser and moisturize after.
Talk to your doctor. Eczema is unpleasant, and you shouldn't have to suffer because of it. Get some professional advice if managing your eczema proves too difficult. A doctor can usually help determine what is causing your eczema, give you advice, and prescribe something to help, like a cream or antihistamine.