I also used Dreft and Baby All, but not for long. I gradually started using other products, and as long as she didn't have a reaction, I used them. I actually still have half a box of dreft and a partial bottle of Baby All. I love the way Dreft smells, and I used it on all her clothes before she was born. I found the only thing I realy needed to worry about was what her cloth diapers were washed in. I needed detergent without enzymes in it, and that is pretty hard to find- even the baby detergents didn't help.
Oh, I should add that my DD had eczema, too. The detergent didn't seem to make a difference one way or the other, so you may not have to use a baby detergent at all.