We bought in the best school district (based on academic performance) and DS went to the top rated school in our district for K. We thought we had a done deal. And then we found out that it did not matter how good the school's API scores were and how many enrichment activities were paid for by the cash rich PTA. My DS was not learning anything new to him. Gifted services do not kick in until 3rd grade and differentiation made a very small impact to his school work. We pulled him out and now commute to a private school. We pay property taxes for other people's kids to get a quality education smile But the good thing is that my property value has held up because of the stellar school district.
That being said, I have identified the middle school and high school that we would like for DS and will buy and move near there when he gets to that age.

OP, my son is in his 3rd school at age 6. I suggest that you commute to your school of choice before you make your decision to move.