Don't feed the rabbits Light strings, they do better with Lettuce and carrots. LOL ... OK so it isn't that far off from the truth. Rabbits like to eat so you can distract from your lights, by raising your lights and or putting food out for them away from your display.
Squirrels I have a very good relationship with now. Our first year together they got about 40,00 lights and strings.
I had a nature guy come out "A squirrel expert" and he explained the lights and strings looked a lot like twigs and stuff a squirrel would build with to a squirrel.
The squirrel was protecting his territory by destroying"my nest building" he then went on to say that if I moved it away a bit the squirrel would likely let them alone. So that is what I did I moved my stuff to the outsides of the trees and left the inside clear for the Resident squirrels, I never had another light go out because of a squirrel. now I don't decorate where the squirrels are.
OR a 22 works well too?