What if something if my dog gets hurt, something is broken or taken from my home?

I'm so nervous about this but going to trust you guys! I like that you do background checks. Assuming you are looking for any murderers of people or pets, no abuse to pets and well I guess people too, and no stealing in their background. But what if they hurt my dogs? What if they break something? What if they take something? Is there any insurance to handle these type of things?