I just love all animals!! LOL but dogs and indoor pets are more involved and potentially annoying. They need walks and training and lots of attention. Livestock are a lot more self sufficient lol so I get it. Maybe you need a cat or more independent dog. 
 
I love birds too
Mine was useless against hawks 

 but worth his weight in gold for coyotes, foxes, raccoons, etc. and in his defense, I don’t think he saw or heard hawks and he was a house pet, not outside 24/7, so not much he could do against them. Maybe if he was outside when hawks attacked, he would have protected them from them.
We had a neighbors dog come over a lot and get one once but she was fine with no injuries or minimal and then I think they figured out how to contain the dog better because he hasn’t been over in a long time.
I want parakeets or cockatiels but indoor birds are so loud and messy lol I am not really an indoor pets kind of gal. More so livestock similar to you except the only difference is I love dogs and cats. So I guess I should say I am not a CAGED indoor pet person. Although I HATE cat litter boxes and am technically allergic to cats so future cats might have to short haired barn cats although I love Luna and she is not going anywhere.