I back up to a large nature reserve. We have mountain lion, eagles, bear, coyote and other predators in the area. I ended up with a little dog and have to take him out when he has to go, otherwise something will eat him. The only thing that makes me nervous? The coyotes - they run in packs. Singly they dont bother me either, I just watch where I’m going and make noise. The grandkids dont play outside alone either, particularly after dark. Wouldnt trade where I live for anything, but I dont try to feed the critters. There are more than enough rabbits running around for that.
I live in a rural area in the Rockies and I walk my two Rottweilers because of all the predators you mention. Plus, I am well-armed.