ambercurly
Chirping
I bought like 70 bucks of bird netting from amazon and connected from roof to privacy fence keeps the stray cats out and my birds from flying out. 

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I am just afraid that the chickens might be able to jump there too, will it discourage them...? The spikes?Ya, the bird spiked may work but it depends on whether or not your fence goes all the way around your house.
I will try to put up a trap. However, I am worried because I really don't think any type of bait would be better than a plump chicken. And I really don't want to lead it here again.
We had a feral one manage to catch a pheonix, something that natural predators here haven't managed yet in almost 5 yearsI don't think that a cat will kill a chicken, but it depends on the breed of cat, determination of the cat, and the size and determination of the chickens. It does sound like that cat is a hunter though, it is possible the cat could injure you chickens. A chance you might not want to take.