I used to use knit kevlar gloves to help me handle the tough guys I took in. The downside that i could see was that knitted fabric will not stop peg-like teeth. But they work well on iguana teeth, which form a single sharp edge, like a razor blade. Kevlar does stop iguana bites*. You also have to wear forearm sleeves that slip over the gloved thumb and stretch up your elbow. They help the glove stay on. You should lift the front end of the ig by raising your foorearm to a fairly verticle position. That way, when the ig kicks or tries to climb your arm, it pulls harder on the glove making it more stable.
* That is, the iguana still can bite, but they can't slice throough the fabric. The pressure of a bite from a large iguana still can hurt, but it's a big improvement over bare skin or cotton gloves. The gloves are almost useless without the sleeves.
Use a search engine to find "Kevlar Gloves". There are many types. I used single-layer kevlar with arm protectors. They are not expensive.
Make sure his toenails (the tiny barb on the end of his claws) are removed. His claws are dull and harmless.