First of all, you won't find the "perfect" school but you can find one that meets the educational needs of your children.
We are in a northern burb of Dallas, in the Plano school district which is one of the best. We moved to this area 20 yrs ago and we chose Plano based on schools, location, etc.
Our daughter is 17 (Junior) and has excelled in the public system in Plano. Yes, there are some schools in Plano that are not stellar but she has attended the best ones.
We had the option of private and have no financial issues with that, however, we prefer our daughter to be more diverse and get along with all types of people. When she is out in college and on the work force someday, she needs to know how to communicate, relate and get along with all types of people.
I am not saying this about all private schools but some children here who are in private school come out with a good education and then bam..they are out of their element in the real world.
We are very focused on the best colleges, etc and daughter has structured her schedule to be set for college.
You will have some students who go to school and are ok with getting by, ok with non stellar grades, and ok with not going to college. Our schools basically have 3 schools within the school.. you have the regular classes which are basic courses, the honors courses which are more challenging, the AP courses where you can earn college credit and the IB program where several children go. Our daughter is in all Honors and AP.
You have to find a good balance with school, home, etc and not put so much pressure on a child that they don't like school.
You'll get through it with ups and downs with BOTH private and public. It is how you are able to communicate and guide your children in the direction they are looking to go.
It is scary when your child starts school. It is our jobs as parents to be there to advocate (not helicopter). Go volunteer at the school so you can see the dynamics of how the school works.
Good luck to you and don't worry so much about it. Your children will be fine, not left behind, etc because you are there to watch them and guide them.