Depends on which one offers the best education
It probably would not be the public school, but there are a few exceptions.
My children went to public schools and they all graduated with honors.
If I had kids I would like to send them to a public school.
Public school at this point, but I will send them to a private school later.
Our public schools are not that bad yet, so I have no problems sending them to school there.
I sent my kids to a private school. They're all grown-ups now
I am no parent, but I went to a parochial school, depending on the circumstances, I would sent them there as well or if I can't send them there, a public school.