West U / Memorial are two great inner loop areas. The Kingland/Woodlands aren't bad places, but they're a long commute if you think that you'll be going into the Galleria / downtown very often.
You can read about the Houston Neighborhoods at
Houston Neighborhoods
You can also get a free copy a 100+ page Houston Relocation kit (which is really good and goes into each neighborhood in detail) at
Houston Relocation Guide | Relocating Houston Texas Free Guide