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If you really like trapping them & disposing of them somewhere, then a trap will be a good aid. Keep in mind that every time you trap one & remove it (or shoot one and remove it), the area is open and "clean" smelling --meaning it loses its old raccoon scent-- for another raccoon to decide to move in, which could happen withing a day or so. You may never actually stop trapping or shooting, in a rural area, because their are always more raccoons to come fill the gap you've created. It's a big time drain to do this continuously, as I've found out.
I had an Akita/Chow mix who was my backyard guard dog years ago. He got attacked by a raccoon one night who was trying to raid his food dish (before chickens), and the pesky thing bit onto his cheek and wouldn't let go. I had to beat it off with a long-handled skillet. My large, tough dog had had his rabies shots, but he still got a cone on his neck for the next month. Dogs can get attacked by the bolder raccoons as well as keep them at bay. If they do get attacked, it may be costly to treat the wounds as well as exasperating for the dog(s).
If you can prevent the raccoon from entering your designated area, with electrified fence or hardware cloth, so much the better.
Try to feed inside the coop only, not inside the run. If you feed scratch in a ranging area, don't do it near dusk, and make sure your coop is super secure.