Hi, I would recommend several areas depending on your income and what you are interested in as far as community involvement, hobbies, etc.
Galleria area (middle of town, high end, lots of shopping, heavy traffic, freeway access to downtown)
Heights (inner loop, funky area with older renovated houses, great dining, close to downtown, some traffic, up and coming, expensive)
Bellaire (actually it's own city within a city, nice homes, close to downtown/Galleria, can be expensive, has own police force)
Pasadena (south of town, fast growing area, homes can be expensive, some bad areas still, traffic can be issue, close to Hobby airport, still that country feel, long drive to downtown)
Katy (west of town, FAST growing, can be expensive, lots of traffic into and out of town on I-10)
Woodlands (north of town, expensive, HEAVY traffic in and out of town, crowded)
Tomball/Magnolia (northwest of town, still very country, but with lots of necessities, relatively inexpensive, straight shot into town on 290, but traffic can build up once in town).
Those are just a few places I can think of. I live on the far west side of town towards Katy, off Barker Cypress. It's growing also, still good prices, low crime, easy access to I-10 and 290. I've lived here for over 20 years and wouldn't live anywhere else in town. Average home price in THIS area is $107,000, rent is $1100/mo (for house OR apartment). Just my opinion on the above areas from my friends living there, etc.
All schools are good, but HISD is very large and has had it's share of problems and has a very diverse student population. Cypress Fairbanks, Klein and Katy school districts are very good, lots of NEW schools going up. We live in the CyFair district and I'm glad. Have put 3 kids through it and don't regret it one bit.
If you have any further questions let me know. I can also recommend an excellent realtor to help you out, either buying or leasing. Actually, I would recommend leasing something for 6 months or a year first to see if you like the area.
Good luck!