Our neighborhood hawk

We have a family of three hawks, which live in the trees on our Lane. We purchased a Birds of Ohio book, from Wildbirds Unlimited, hoping to be able to identify which kind of hawk it might be, but it is really hard to tell. The store thinks they are red shoulder hawks, but our neighbor thinks they are red tail. We had Coopers hawks in Concord. They were there the first summer we moved in and then they did not come back until the summer that we moved. We felt it was a good sign when we got out of the car here in Ohio our first day, and this guy swooped down to greet us. They have been fascinating to watch. All those little bunnies I've talked about, well, they seem to be decreasing in number. The girls found a bunny leg w/fur attached in the neighbors yard the other day. Two of the hawks tried to take out a big (huge, actually) tabby cat, which has also been hanging around the house. The cat has kept a low profile ever since it was swooped down upon by the hawks.