It all depends on your job prospects, but if you want to move on with your life, it kind of suggests moving back to where you've come from. You've got your family around you - who could be handy for babysitting, as well as emotional support. it is a guaranteed way of forging a new life for yourself.
It is a life that will allow you to get regular reliable support; whereas your ex-H, has already stated that he can only offer that in the short term. When he sorts himself a new life - what then?
You wouldn't be going back, tail between your legs, because your husband has already gone. If you've made friends in a new town, you can make friends in a new location. Simple fact.
Additionally, it appears that if you stay, you'll be enrolling your children in an education system that you're not comfortable with.
If your Ex-H is of any value, he'll be willing to travel to see his children - and fully participate in their upbringing.
That seems to be a little questionable even before travel is thrown into the equation.
If you stay and he finds a new 'hobby', and your children get dropped like a hot stone, then it tells you everything you need to know about the future of your children's lives. Why should you sacrifice a support network in the optimistic hope he is going to be an amazing father.
What a way to grow up = ever hopeful he'll do the right thing.
You've got an amazing opportunity to give them so much more.
I think from reading your post - you want 'permission' to move your children but want to 'wait and see' what kind of Dad he is going to be.
Why not decide what kind of person and mum a change of location will offer you?