Sensitive Skin

I have very sensitive skin. I have to bathe with soaps and body wash that has little to no fragrance to it or else I'll break out. I can't even use perfume or body spray! I also have to wash my clothes with the same detergent that you would use to wash baby clothes. I went to the doctor and he said I have eczema. Can certain soaps or perfumes trigger an eczema Breakout?? I'm currently using Ivory soap/body wash and baby lotion, but I'm still breaking out. I use Cortizone10 to control the itching but that barely helps either. Does anyone have any suggestions that will help?? Thanks In Advance.