Diane, I think that they will be all right. I like seesthru's suggestion about putting the traps in a spare cage and closing the door. When I had my moth invastion I got the blue-light Zevo trap that you plug in. The sticky part faces inward, not outward. Plus I got the moth traps that you have to assemble yourself. You drop the pheromone cube in once you've assembled the trap. For whatever reason the kind that comes already assembled didn't do anything.

Cathy