We have owls and turkey vultures here and coyotes.
I keep the small ones either inside or penned in until they are too big to carry. Only one of my cats goes out at all and I don't let her out alone. She probably shouldn't go out at all and I'm trying to wean her off of it. I have a nice big indoor space for them to do all the things cats do without risking getting run over or picked off.
The coyotes that come right up to the pens are the biggest problem. One of my boarders had two of his goats killed right through the chicken wire fence. Another boarder here brought in four kittens that she wanted to raise as barn cats and I confiscated them to raise inside until they were old enough to be adopted out but not before one went missing to an unknown predator. 
"Nature red in tooth and claw" -- I'm terrible at handling this but have gotten everyone to keep the little guys in safe covered areas but for the occasional hungry coyote that finds a way through the fencing. At least they sing and that alerts me to scare them off so, we don't lose very many animals to them any more.
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