I'm going to keep my kids away from a dog I don't trust
What makes it so hard to trust that dog?
I can't trust a dog easily after the accident.
And that's okay, not everyone is going to like animals. You are just being cautious and protective of your kids, which every parent should do. As long as you don't abuse these animals, you have the right to stay away from them.
A dog is still a dog and it's going to bite me.
I think that you should get rid of the dog then. It is good to protect your kids, but there is no point to have the dog if they cannot co exist.