I believe you need at least two pairs (types) of gloves. Ove-Gloves or welding gloves are essential in handling the chimney and other hot dry areas of the cook. The other type is for wet handling. You definitely need some silicone gloves or "rubber" coated gloves for handling the meat. I guess you could use silicone gloves for both purposes but the dry uses are going to get the gloves pretty dirty so I like two different pairs.
Then you may want to consider what you will use when you pull meat. Again, silicone is good from a heat and moisture point of view, but they are pretty thick and therefore don't give you the dexterity you might want. For pulling, I wear some cloth jersey gloves and cover them with large latex gloves.
So my recommendation is get some cheap but thick leather gloves. I got some winter leather gloves that work well. Then get some cheap poly gloves that have a some length. And, continuing with a theme, get some cheap jersey gloves and a box of latex or nitrile gloves for pulling.