Good fencing with a good dog or two inside settles most concerns.Our place is small enough that we have the whole perimeter fenced - house yard with wood and 2x4 wire, garden and livestock area with cattle panel and hot wire. There is some cross fencing with field fence, hotwire, or non-electric plastic mesh w/step-in posts.
We have 2 dogs right now, a huge shepherd/rottweiler cross and his corgi buddy. They aren't allowed loose where the chickens and sheep are, but when we let chickens in the houseyard, the dogs give way to them. We train them as puppies not to menace cats or chickens and will rehome any dog that does. The big dog was great at herding cattle when we had some, just seemed to do it instinctively. He seems to think sheep are more for biting though.
We're about to add a rottweiler puppy, since the big guy is getting older and tireder. We go more for protection breeds with some livestock background, since we need a guard dog for two-legged varmints as well as four-legged.
Just having the dogs around has worked to keep coyotes and raccoons out. We trained them to chase any possums (and squirrels) that come in the yard, and so far they haven't tangled with any skunks that hide out in the neighbors' woodlot.
I rotate my flocks through smaller grazing paddocks, and keep them narrow enough and with some cover that the eagles and hawks don't want to risk swooping down.