I just found out my 2 yo DD has exzema. I got a steroid cream from the gp, but as well as that I bought a sorbelene cream & cover her in it 4 times a day. Its fun, but it has kept the dry patches away. I use goats milk soap & a soap & fragrance free shampoo & conditioner in the baby section at the supermarket coz her scalp got all flaky & started to peel just coz it ws so dry.
Til you get something else use good old corn flour. I was at the in-laws the other day when DD started to get a flare up under her arm & we put corn flour on it. She didn't touch it again for the rest of the day. That stuff works wonders!