There are some old posts that detail many of the schools. I'll try to give you a synopsis. Fayette County Public Schools received Blue Ribbon status in 2006. However, there are definitely some schools that are much better than others.
Elementary:
Rosa Parks
Veterans Park
Glendover
Cassidy
Middle:
Morton is by far the best.
High School:
Dunbar
Henry Clay
If you concentrate on neighborhoods in these school districts you can't go wrong.
There are several good private school options as well.
Sayre (K-12)
Lexington Christian Academy (K-12)
The Lexington School (K-8)
Fayette County also has several magnet programs.
www.fcps.net is the school website and has a vast amount of information.