My baby has sensitive skin and now I do??

My baby started showing sensitivity to certain perfumes and dyes and we got a special detergent for her. Decided to wash everything in that same detergent. Used special lotion and she's doing a lot better. But we would still wash towels in my husband's work clothes in "smell good" detergent.

to save money my husband decided to find one we could use for all of the clothes. So we went from All free and clear to using Arm & Hammer sensitive skin free of perfume and dyes. well now her eczema is flaring up again. But this time it actually looks different than before but my friend who gets that same type of reaction confirm that eczema just like hers.

The weird thing is I never had sensitive skin before. Since having my daughter I had dry patches of skin throughout my body this past winter right after I had her and I'm getting an allergic reaction to kotex pads and I'm also getting this new rash that she's getting since we switched the detergent. We thought the detergent would be the same but apparently it's not.

My question is has anyone else experienced this? Where there skin sensitivities change like their child's? Or mock their child's?