Have really bad hands swollen red cracked skin burning sensations. What could it be?

Could be. Just very dry skin or possibly a form of eczema. See a doc who might be able to help you. I'm sure you have gone the moisturizer route without help already.
Anything. Could be anything ranging from eczema to an allergic reaction to an infection. It would take some more information and a physical exam from a physician to get to the cause.