We have wild anoles. Cute little things. But their crap looks like tiny bird droppings and they crap a lot. Still they are good for eating pests. I believe they were detrimental to some carpenter ants in the walls of our house so I’ll let them alone to nest there and poop all they want.
Same with starlings. If they eat the insects, they can stay in my yard.
I refuse to use pesticides.