well in all honesty chameleons aren't exactly a handling species.. although they can be handled for short periods of time its best to keep it to a minimum unless you're transporting them to a free range or some other lower stress situation... but taking them out just to handle them isn't exactly the best idea. I take my guy out a few times just to move things in his cage, deep clean or to let him use his free range but other than that, he isn't an animal that I am able to just lounge around with.
if I were you, I would introduce food with handling. I had my guy crawl onto my hand for me to clean his cage and I would reward him with a worm when he voluntarily crawled on. positive reinforcement is key and within a few months you'll be able to hold and possibly move him without too many problems. when first moving him its best that he feels secure. to do that id make a designated transport plant. maybe just a small house plant that he can perch in and feel safe and covered while you move him. slowly build this up to moving on a bunch of sticks, then one stick, then your hand. this takes a lot of time and patience.
just remember, they love being high so when you reach your destination, a free range or some other structure, put him up high so he can feel safer. also note that when handling, always come from below, and don't pick them up by the stomach. their ribs are very sensitive and are fragile. if you come from above they think you're going to attack them since their most natural enemies like birds will come from above. note: slow and patient is key to earning a chameleons trust!
