Skin problem (palm of hands) - what is it?

Lately on the palm of my hands, there are these little white bumpy bits, like little dots, under my skin. It looks like dry skin but I keep moisturizing them. Also, when my hands are wet they get all wrinkly really fast. It's hard to describe what it looks like, but they are almost like little bits of moisture or air under my skin, I really dont know. But it's not irritating or itchy or sore, just a bit weird looking. Also, I do believe I got it after trying new hand soap, which perhaps dried them out? Please help!