It mjght be the minerals in the water. Try using a water purifier :)
Do you have a water softener on the hot water? How are you able to take showers? If it was the minerals in the water, you'd be allergic to the cold too...but some people have the softener hooked to the hot water only, so you might be allergic to the salt they use.
Still.....do you take baths or showers?
pHow do I stop getting rashes on my arms when I do dishes?
Maybe you're just allergic to dirty dishes? :)Should I be tested for herpes?