Hi! and Welcome! Houston is huge (area-wise) and has a ton of options, depending on your needs.
We are in HISD in a GT magnet program that seems to be working well for my 1st grader. You are past the testing deadline for Magnet Vanguard, but there might be something in place for transferring students. You'd want to check with Advanced Academics on that, they are on HISD's website.
Spring Branch has some very good schools, as does Cy-Fair, but if you want to be close in you will probably be dealing with monolithic HISD.
Email me if you'd like, I'd be happy to give you any info I can.
Preschool is very local. If you know the area that would make it easier to pin down some options.