barnetmill

Squirrels----Eat them
That is doable, can also use snare poles to catch them
Racoons----You could eat them
Raccoons carry rabies, do not touch them and sanitize the trap afterwards with bleach and sunlight
Possums----I wouldn't eat them but some will
I have never tried to eat a possum but it is an old southern dish
Coyotes----Live trap the possums, stake them out for Coyote bait and then Bang Bang
Electron recordings of animal calls to bring them in if you want to shoot them. Probably need to use a shotgun with smaller shot like bbs instead of buckshot because of the neighbors.