If you must wear wool, such as in a cold climate, wear cotton underneath it. So invest in a set of lightweight cotton undergarments that can be used when wearing wool or any other potentially irritating fabrics. Polyester can also be an irritant because it can trap moisture in it which can lead to a flare-up.
If you have eczema, then you're of course going to want to do everything you can to manage the condition properly. No doubt it can feel embarrassing at times, but you don't have to just live with it. Instead, you can focus on taking control using the information obtained from this article.