You can use a leather glove when handling him until you get more familiar, confident and comfortable with reading his body language, movements, and mannerisms.
The thing about getting bit by a BP is this; yes, it may sting a little, and yes, it may bleed a little. But, the experience is not nearly as traumatic as our fear and anxiety leads us to believe. Here are a few common situations that hurt far worse than a BP bite:
-piercings
-tattoos
-getting scratched or bit by a dog or cat
-getting stung by a wasp or bee
-sunburn
-shots from the doctor