I have had the most success with just rubbing a big gob of vaseline into my hands at bedtime. After a few minutes it isn't so sticky anymore. Don't bother with gloves or anything and no real issues from greasiness.

Another trick that works is to wash your hands with soap and then squirt some hand lotion onto them and rub it in as if it was soap. Then I rinse only the palms of my hands quickly and dry off. The lotion stays on the backs which is what gets dry.