One of the best things I have found about home remedies for eczema is that they work on a lot of general itching problems too. A good anti-itch home remedy doesn't need to be restricted to one sort of problem if you ask me.
At our home if anyone has an itch we add a cup of white vinegar to their bath. Afterwards we also use an aloe vera gel as a body lotion and it takes care of any residual itching that may still be felt. If you do have eczema the vinegar really soothes the skin while the aloe vera adds back much needed moisture to the skin.