See if these will help. Humane mousetraps. I get rats int eh house. Harder to find humane rat traps. I've had to put out the kill traps. I put the birds in their cages, make sure they can't get out, then set the traps. I make sure the only food source on the floor is the trap. I'm still looking to get humane rat traps, though. I really hate killing anything.
humane mouse trap