I used to use Arm & Hammer powdered. I needed the scent-free kind, and I was fine with it.
I switched to All, the scent, etc.-free kind, the liquid, while traveling and like that even better, because there's no airborne powder to bother me.
I don't know that my skin is all that sensitive to detergents, though, so I can't say how it works for eczema (sp?).