Dakine baron mitt, i have these exact ones, ridiculously warm and also gore tex so you can't go wrong. The past season ones can usually be bought decently cheap compared to hestras.
Definitely mitts. I have leather choppers with wool liners, and I wear thin wool under gloves. The under glove is key so if you ever take your mitt off your hand isn't totally exposed
Hestra 3-finger Seth Morrison Pro. I have poor circulation and these keep me pretty warm. They have wrist strap things so you can take them off without having to worry on the lift. They have more padding than my old race gloves too. Tree busting galore.