It looks like millions at your place, but hopefully not.
I am fortunate to have Coyotes and a Bobcat at my place.
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As far as keeping the Raccoon population in check.
My chickens are in pens that are secure from the Fox, Coyotes, Bobcat and Possums that visit my property, but not Raccoons that are good climbers and can squeeze through a 3 1/2" gap.
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Fortunately my coops are secure when I lockup after sunset.
But I had a Coon showing up several nights weekly climbing the coop and walking on the roof, distressing chickens and as a result egg production dropped off.
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I caught and dispatched it.
I didn't see another Raccoon on cameras for 4 months.
So far this new Raccoon hasn't climbed the fence, or distressed the chickens, but if it does.
I lost my first chicken last April to a Fox around sunset.
First in 3 years of free ranging an hour before sunset daily.
I lost my second last month, same circumstance, but don't know if it was a Fox or Bobcat. They both have been caught on camera in daylight, Fox morning and around sunset.
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So that's my fault for letting them out of their pen.
I hope you get your situation under control. GC