Personally I believe the Knox County School system does an excellent job of delivering quality education to our children.
Additionally there are several marvelous church and private schools in the Knoxville area.
Knoxville schools can be compared on the Tennessee Department of Eduaction website. If you have narrowed down the areas that you are looking at in Knoxville to live in you can compare the schools test scores there. I would also look at the middle and high schools if you are planning to stay in the home a while.