Although, our 14 year old declawed, over-weight Moogie (cat) is half deaf and blind and only moves to go to his litter box or his food dish, our recently acquired rehomed stray Tortoiseshell (although not yet showing preying/hunting behaviours) is restricted to the lower level of our house, which is secured from the rest of the house, when the birds are out.
Our main concern is our neurotic Miniature Poodle Coco, who (although has no teeth - literally - they have all been extracted by the Rescue we got her from, due to them all being rotted out) makes no secret of wanting to grab our Brown Heads and Cockatiel. She has no self-control and will lunge at my knees when she sees one of these birds on my shoulder (but she can't reach) and the birds have learned that she can't reach them.
But interestingly enough, for some reason that for the life of me, I cannot understand, she has NO interest whatsoever in our two Lovebirds, whom you'd think are prey-size and appetizing to her. My mother-in-law says that the reason for this is that the Lovies were already here when Coco came along, so she feels they have "seniority" in the "pack" (I think Coco views all living beings in this household as pack members). So Coco is kept outdoors when the fids have out-of-cage time. Now, keeping the B.H.s away from the smaller fids is a different story.
Our Hound, strangely enough, is the "Peacekeeper" of all feathered and furry family members. She gets extremely emotionally upset when any animal member shows any aggression towards any other animal member, no matter whether they are feathered or furry, and this alone, always alerts us to the fact that trouble may be brewing before it actually does. Interesting dynamics here.