We live in the middle of a wild life habitat, so we have had to deal with many different types of predators. All hawks, eagles ect are protected, by the migratory species act so harming them intentionally can result in very large fines and possible jail time if you are caught. So shooting them is not a good idea. Usually as long as there is enough small game around they usually leave larger animals alone.
We intentionally leave small piles of brush around during the winter for the small animals like rabbits and mice. that helps keep the populates up for the predators. We also have areas where small birds can go to hide from hawks.
We never let the Ladies out unless someone out there to guard them. They have a covered run so in the morning they get out to the run. Last year we had temporary enclosure that we moved once a every week or two, for fresh grass It was always attached to the run so they could go in and out as they pleased, the temp enclosure was covered with a cheap tarp.
Very seldom will a hawk or eagle fly through a solid looking object or a tangle of lines. If your run has an open top you can string fishing line across it for a while until you get it covered and the Hawks won't try to get though unless they are really hungry. A hawk or eagle can see a tiny field mouse from a 100 feet in the air, so they can see the fishing line.
Chicken tractor or covered free range shelter work also, unless the predator is very desperate for a meal. Over the years we found that we have to provide some help for the predators normal food sources, but not to much help. Then they usually leave our domesticated animals alone, but we also have to take extra steps to add
protection for the domesticated animals.