Hardware cloth for the coop where they are closed in at night. Other wire for daytime use for me. But, we don't have local 'bad' dogs. Most our predators are night time critters. They can't get into the closed up coop.
The run is huge and goes up the mountain into the woods. (On the left side of the coop) They have lots of cover from hawks there. Have not lost anything in this location yet. (Except two years ago when the bear tore off the door one night. But we reinforced it now) The run fence is regular small retangular gauged fencing. The coop is hardware cloth that is buried down into the ground 12 inches and goes out 12 inches (like an L) That keeps anything from digging under.
So beautiful!