Even BEFORE the skin on my hands, especially around my nails, was fried by chemo, the chemo nurses recommended that I buy Shea Butter to be prepared. It really worked, and it didn't feel greasy. DH found it at CVS - if you don't have CVS - I think a drugstore - which woud be cheaper than a health food store.
It smells good, too. Kind of like the cocoa butter we used to spread on ourselves to get a good suntan before we found out we shouldn't be doing that!
I'm going to use it again this winter when I'm in AZ, because my hands dry up there every year. Regular hand lotion just doesn't do the job.