Yep, definitely get low to get close and/or catch 'em. We have a ton of Anolis sagrei (brown anole) down here, and they're more terrestrial than the greens. They'll come out & bask on low bushes, your porch, rocks etc...and if you get down low commando-style you can creep right up on 'em.
Another fun one to chase is the spiny swifts (Sceloporus sp.)...when I see one on a tree usually when you get close they just run around the other side of the tree, keeping the trunk between you & them. Like a squirrel does. But yeah, they like to keep the "good" spots, and won't give in & run unless they have to.