Dust can cause issues. Rather than dry dusting, use a damp dust method instead. This will help capture the dust, rather than simply spreading it around the home. Also, because rugs and carpets are a beacon for dust, try not to have them in the house if at all possible.
Certain things trigger eczema, so it is helpful for you to find out what triggers it in your body. Some things that can trigger an eczema flare up include perfume, soap, some fabrics, and detergent. Sweating and stress are other possible triggers. When you pinpoint what your triggers are, make sure that you avoid these things as much as possible.