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As you've already read, chicken wire will not protect your chickens. Go with hardware cloth. In the long run, it will be less expensive.
Build a covered run. I will be having a shingled roof run attached to my coop with a 2' wide predator apron of 1x2 welded wire buried around the entire coop and run. I also have my setup inside an electronetted pen with additional hotwires going around the coop and run. Nothing has gotten at my birds inside the pen although aerial attacks are certainly a possibility when they are out of the run. It's a risk I'm willing to take because they enjoy being out. I do offer lots of cover for them to give them a chance. They also have a cockerel who loves to alert when he sees hawks fly over. And crows and sometimes blue jays and, yeah, once a bunny rabbit on the side of the road. But he is a very watchful guy and the girls listen to him.

As you've already read, chicken wire will not protect your chickens. Go with hardware cloth. In the long run, it will be less expensive.
Build a covered run. I will be having a shingled roof run attached to my coop with a 2' wide predator apron of 1x2 welded wire buried around the entire coop and run. I also have my setup inside an electronetted pen with additional hotwires going around the coop and run. Nothing has gotten at my birds inside the pen although aerial attacks are certainly a possibility when they are out of the run. It's a risk I'm willing to take because they enjoy being out. I do offer lots of cover for them to give them a chance. They also have a cockerel who loves to alert when he sees hawks fly over. And crows and sometimes blue jays and, yeah, once a bunny rabbit on the side of the road. But he is a very watchful guy and the girls listen to him.