It's no so much the area, but what short-term rentals are available. I suggest you contact a locating service (there are dozens here ... just Google "Apartment Locators Houston"). They have far more information than we do. I assume you'd want a first-floor unit. If you'll let me know what your budget is as far as a home is concerned, I can send you some information that will prove helpful. My contact information is below.
Trend Setter Realty
REALM Real Estate Professionals
It really depends. Katy, Memorial, Galleria area are good areas. Bellaire Texas which is off of 610/Bellaire is a really nice area as well. What is the range you are looking to stay in? You can reach me at 281-345-2800.
Most private rentals are for a year minimum. Apartments can do 3 months, but they typically will do 6 month minimum leases now because the rental market is very strong in Houston.
We can pull up those communities that offer shorter leases and email those to you. The list would include photos, possibly floor plans, prices, etc. Let us know if we can help you. No charge. The apartment community pays us a small finders fee to assist you.
Bernstein Realty, Inc.