Favorite Houston suburb with a hospital nearby for work?

Hey, there!

My family is looking to relocate from the Clear Lake area to the West/North Westside of Houston.

Our only true requirement is that there is a hospital nearby that I can work at (preferably a short commute!). Ideally, we would:

• rent a house ($1500-ish range)
• love to see more trees/greenery
• maybe this doesn't exist, but possibly have a small-ish feel, like everything we need (groceries, coffee shops, parks, libraries, schools, etc.) are within a small area, so fighting traffic is at a minimum

Thank you in advance! We're super excited to make this move, wherever it is.