all 3 of my girls had/have eczema. we like the Gentle Naturals Eczema Wash for bathtime (doesn't smell like that powdery baby smell, but that's the only downside to it) and the Eczema lotion for after. We used OTC hydrocortisone cream but it didn't seem to help the really dry areas. We received a prescription cream and it worked well. But, just like a previous poster said, the use must be limited and it cannot be used on the face because it's strong.
If you can cut out all perfumed soaps, lotions, oils, etc that should help too. Use unscented soaps and the hypoallergenic lotions (Johnsons has one - yellow bottle). Same with shampoos, because it runs down onto their skin also.
Good luck. I would make sure it's eczema with the doctor before doing anything drastic but for now, I'd say stick with basic soaps and lotions without perfumes/scents until you know for sure what the Dr recommends.