Do you know what type of eczema it is?
Does it appear with bumps, blisters or dried, cracked or flaky skin?

I ask cause what might work for me, who has dishydrotic eczema, may not work as effectively for you if you have open sores.
Overall it is recommended to use natural, unscented lotions (like without extra chemicals and such) and there are prescribed steroidal lotions, but recommended to try natural methods first.
I found nothing to work on my type until I tried using Working Hands lotion (they have a Working Feet version too, and you can apply it to your back also, they come in a disc shape container that twists open) and when I apply it, I also wrap my hands in self adhesive wrap to trap in the moisture from the lotion. If my blisters ever popped before I could do this, I would make sure to clean them properly before proceeding with the lotion and wraps. For me, doing this and AVOIDING contact with warm or hot water (dries skin out) with my hands, my break outs completely go away.

I have several kinds of eczema... Depending on what kind depends on what you'll want to do.
Use mild body soaps and gentle laundry soaps. (I use Ivory and Purex since they've been the only ones not to cause flare-ups for me.)
The only lotion I've found to help me is a "Creamy Baby Oil- Angel of Mine" (Angel of Mine is the brand name)
It's really cheap and sold at dollar tree and it works better then the RX my doctor had prescribed.
I tend to order in bulk and just spend the extra to ship it to my home. XD
If you have dead skin build-up on your feet because of your eczema, I suggest doing a foot soak.
1 cup Listerine, 1 cup Vinegar, with 2 cups warm water.
You can double it if needed but soak for about 15 minutes, the dead skin will come off easier. (You can use one of the pumice stones too)
I suggest using the amber-colored Listerine cause the green and blue colored ones can stain your skin for a while.
You can also take daily vitamins/supplements or even allergy pills to help decrease flare-ups as some can be caused by histamines or essentials that might be missing in your diet. Many have luck with quercetin, multivitamins, or vitamin D3, I suggest checking out the National Eczema Association website. They have lots more info that might help you. And I do suggest talking to your doctor before starting any kind of supplement or vitamin.