How would we know? We have no idea where you live, the status of your lives, how you live your faith at home, what each of the schools offers in the way of curricula, how you plan on paying for it (is it going to be a true hardship), the condition of your parish, or a host of other variables that would determine what you and your spouse would do.
You might want to put together a list of what you think is important in a school setting. See how the schools in your area, private and public, compare. You might also want to pray on it.
You didn’t mention home education, but it is a viable alternative, as well.
You know, I really don’t think that this sort of response is very helpful to the OP. She is asking for basic information and you respond rather unkindly when she is simply looking for the general opinions of forum members, she 's not asking for a plan tailor-made for her particular circumstances.
To the OP: I have been blessed with outstanding Catholic schools, which after ten years of homeschooling my seven children (all to various grades), were a God-send. Ours is a Blue Ribbon school that offers a broad range of classes. The faculty and staff are wonderful and highly supportive of parents as the primary educators of their own children. The work is demanding, but there is time for incredible field trips, musical productions, and fun. Our school feeds into awesome highschools. The beauty of a private school is that you can send your child anywhere, provided you are willing to drive. Just make certain that you are registered in the parish that you send your children to. Tuition is cheaper that way. Also, some diocese give discounts for siblings and in some places those discounts even apply in high school. There is a annual list of award winning (the nations best) Catholic schools on-line. I just don’t remember the name the organization sponsoring this award.
If you are interested in Catholic schools I suggest that you join the Young Mother’s Club at the school you are thinking about. In fact, get involved with parish life, because what’s happening in the parish is often what is happening in the school.Go to school Masses, plays, etc. Do what you can to meet other parents from that school. They will happily give you their opinion about the school.
Since I live in a major metro area, public schools are scary places, but I certainly wouldn’t rule it out if I lived in a city/town with fewer problem kids in the public schools. There are less choices in public education, but if your city has magnet schools, you do have a way to opt out of going to the neighborhood school.
If you feel inclined to homeschool, try it. It can be a very good thing as well.