I have learned to wiggle my fingers and approach him with one hand from the front, then grab him with the other hand from the back. Wear some gloves if you are afraid he will draw blood.
It seems like once you have him in your hands and out of his cage, he will calm down and look around to see what is going on. Mine will all climb about checking me out. I have fake trees they love to climb on. I always "reward" them with a worm or something they love to eat then it isn't so terrible to come out. Their cage is their home and they don't like big strange hands invading it. I had one that would come out if we put the tree up by the open door. Once in the tree he became much friendlier. Whatever you do, do it quickly and with assurance. If they do clamp down on you, they will probably let loose right away. Don't pull away because their sharp little teeth are like a serrated knife. It is better to wait until they unclamp. You then will only be left with the memory and maybe a few little owies instead of a big cut.
I have never experienced any damage from all my years working with veileds. The only time a male got nasty was when I wore leather gloves. He hated those gloves and would do anything he could to bite them. When I took them off he was much nicer to me. Go figure.