Many of my relocation buyers typically zero in on a highly ranked elementary or high school in an area of town they want to be in. Examples would include Cy-Fair HS in Cypress-Fairbanks ISD Cinco Ranch HS in Katy ISD.
Many factors go into the rankings so you need to understand how they work. What is "best" is up for discussion, but there are many excellent public schools to select from. Over 33 school districts in the 8 county Houston area.
Let me know where your want to be in Houston and I will forward more detailed school information. When your in town, I can arrange a tour at any school you wish to see.