I use several pairs of ordinary leather work gloves for handling things that may injure my hands. Nothing terribily special or proprietary about them.
As another poster mentioned - a few pairs of nitrile or latex gloves are in the FAK.
For cold weather, I've got a pair of windstopper fleece gloves with a set of waterproof over-mitts that will keep me warm for a very long time. I can always add a charcoal pak handwarmer inside (facing the back of the hand).
I also have a pair of wool finger-mitts. They are just OK, I don't use them much as they don't have a leather palm wear surface which would make them more durable.