Firstly, if your anoles seems to like being handled (or the house gecko, for that matter), it's probably very unhealthy and/or weak. It may turn green because of your warmth, but this is still a stressful thing for any small anole and usually it's only a very weak or sick anole that will tolerate being handled. That's not to say that you can never touch it or hand feed it or anything, but don't touch it a lot and don't expect the animal to like your presense if not for the food aspect.
Information is available online... and I recommend you read as many care sheets as you can and be reasonable because many will have very incorrect information. For example, no anole is fit for a small (10-gallon) enclosure as an adult. No anole should have a heat rock or heat pad, with the exception of, possibly, a heat pad that is only used to keep the entire tank temps warm enough (not provide a warm area), because arboreal lizards do not take heat from the ground. Another example is that many caresheets forget to mention that anoles need UVA and UVB lighting, and that the bulbs must be changed regularly. And, that most anoles are wild caught and will cary various parasites! Here, on kingsnake.com you will find a wonderful care sheet on green anoles, but, of course, it won't be exactly the same for a bush anole I'd suppose.
So, I'd get a fecal done on your anole if it seems whatsoever weak or uninterested in food because anoles are paranoid by nature and should freak at an approaching hand.
Let us know how it goes with your new anole and don't hesitate to ask questions as we're all here to help 
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Got hips like Cinderella / Must be having a good shame / Talking sweet about nothing / Cookie I think you're Tame 