Hi Padfoot. First of all, I'm very sorry you have to go through this. Perhaps you already posted it elsewhere, but why do you feel so scared where you are now? Were you traumatized in this neighbourhood, are you being threatened by someone? What triggers your anxiety so badly?( I'm only asking this for some context, I'm not being sceptical.)
It's obvious you have your child's best interest at heart and that you're trying to do the right thing here. Are you seeing a therapist at the moment?
However, you must also consider the effect your extreme anxiety has on your child. Children feel it when their parent feels unsafe and adjust their own behaviour to that feeling. So the question is: does the amount of anxiety relief you can get when you move weigh out the negative consequences of your child changing schools?
If you don't already go to a therapist, I strongly recommend you start seeing one. Talk about what you feel and what causes those feelings. Perhaps some (extra) support can change things enough for you to be able to stay in the same place while getting rid of some of that horrible anxiety.
I hope this helps a little. I wish you the best of luck with all this.