Yep, I have this. Itches like crazy during the winter. I have some small red bumps popping up on my feet now, along with some peeling skin. Nothing on my hands yet, but my palms will get this in the really cold months.
I do what JohnG and others recommend - Aquaphor or some other unscented, heavy moisturizing lotion, along with socks at night. Haven't done gloves, but I may this year if it gets bad. I just lather the stuff on before going to bed and then put some cotton socks on. Best solution I've found.