Mara, have no fear. Our property is fully fenced and gated. People here with pets keep them inside. Too many bobcats and coyotes roaming around. We don't have pets because we like to take off on a whim for a day or nine.
My grand kids lead busy lives in other cities and/or states and have no time for pets.
We have had many critters, including rats, evade the humane traps, or haul them off completely! JD even took the advice of some here and hung rat poison by wires in the trees. Wonder of wonders, the bait disappears and once, even the entire wire! It's a losing battle, and we are tired of it.
Don't worry. If there was a pet around (which there is not), we'd go another route, but they steal our traps!