If your gut is staying you to stick with your current school, I'd stay there. You'll give yourself time to learn about the new school as you meet parents in your new neighborhood.
FWIW, my kids have never gone to our neighborhood school, and they are friends with all the neighborhood kids and play together after school and on weekends all the time. I am guessing that simply by moving in, any kids who are in your new immediate neighborhood are going to be extremely excited and curious to meet your kids, so finding friends in the new neighborhood won't be a problem.
polarbear
