When I was a kid, my grandparents lived in FL, and I would visit during summers. I told my grandfather I was interested in "chameleons", and like grandfathers do, he said, "Oh?" and winked at me.
Next morning before breakfast, before the sun had gotten very high at all, he took me outside with a bed sheet under his arm. He spread the sheet out under some shrubs like you would a tree skirt, then grabbed the trunk of the shrub and shook it. About a half dozen cold and sleepy anoles dropped out of the shrub. A couple dashed off, but a few were stunned enough that they were easy to collect.
They do have small teeth, and I've been bitten many times, but even as a kid it was more like a pinch.
See also:
https://georgiawildlife.com/out-my-backdoor-our-modern-day-dinosaurs
https://www.google.com/search?client=firefox-b-1-d&q=how+to+collect+green+anoles