I have some silicon oven mitts that work pretty good for high temps, but I tend to use welding gloves over them. I recently received as a gift a pair of those woven Nomax/Kevlar oven gloves. They work great and allow for excellent dexterity, but are not as easy to get on and off as the welding gloves. Basically I tend to use welding gloves, but the others will certainly do the job.
I don't use any of those for lower temp pit wrangling. I use nitrile chemical gloves for that, but I wouldn't use those for high temps.
I am not a big fan of the rubbery thick silicone pot holders or oven gloves. They are too awkward and clumsy feeling in my opinion.
I like the old fasioned silicone coated quilted fabric gloves (think ironing board silicone covering thin) and I am more likely to just use a bar mop towel.