Live Trap. Call your local Animal Control officer, or Game Warden and borrow a live trap. Put the cat food in the trap. You may catch some of your cats at first but it won't hurt them. You'll only catch a cat once. They are smart like a raccoon and won't go in the trap again.

If it's a momma possum it's already taught it's babies to come and get the food so don't quit trapping after the first one is caught.

Or.... sit very quietly on your porch with a .22 and when it shows up..... well you know the rest. Unfortunately that is the rule of thumb if the animals are out wandering during the day as they are probably sick.

With raccoons you have to stake the trap down so they can't move it.

Now, for the bad news. These critters can pass disease to your cats and injure domestic animals. If their saliva contaminates the water your cats can get sick too.If they have ingested poison from any other place and your cats snack on the carcase they can also die from the poison.

Good luck

Hugs and Prayers