Hi Norma, there are quite a few areas in South Houston, which means that there are options that are available. I just did a random search of some areas in South Houston and see quite a few homes available - they also include Townhomes.
If someone in your house smokes, or if you have pets, that is one criteria we need to know. Also, since you seem to be in a hurry to move, the house we find must be vacant so you can actually move in quickly.
Do you have a good rental history?
If you want me to help, let me know - I'll be glad to, but only if you are not already working with another agent.