We feed the birds and my wife and I would like to have that many birds in the backyard. Speaking of tree rats, one of my neighbors set out a Havahart squirrel trap last week and caught a possum in it. It was a big, fully grown possum. It squeezed itself into that little squirrel trap for 3 roasted peanuts. It couldn't even move. It was kinda funny, kinda pitiful. I let it out for her, and as soon as I got close to the trap, it started hissing and baring it's teeth at me. Sumbeach sounded ferocious. I carefully opened the trap, while keeping my hands well clear of it's mouth. Not much chance of getting bitten by one, regardless of their posturing, but I didn't want to risk it on a morning when I had to go to work.
It wiggled out of the trap and ran across my neighbor's yard faster than I ever thought a possum could run.
I realize this has nothing to do with your post. Just hoped someone might find it a little amusing or interesting.