My daughter has/had severe eczema. To get it under control, we had to make a number of changes. We use Shaklee laundry detergent, no fabric softener. She doesn't wear synthetic fibers directly on her skin (just 100% cotton mostly), she bathes with colloidal oatmeal, and is moisturized after.
Eczema is the immune system fighting what it sees as an attack (something trying to get in to the skin) so it is also important not to take things like Cold FX and other known immune boosters while trying to get it under control because you end up boosting the part of the body that is causing the discomfort.