This property has been on the market for six months. It is also for sale ... at $48,000. There are no interior photos on the listing. All of this ought to tell you something.
The Houston market is very active. Good housing, be it for sale or lease, goes quickly, and at premium prices. I would not let anyone I know live in a property such as this. I'd be prepared to spend at least $1000 ...and that's "cheap" at the moment. Of course, things can change in six months, but it will take a huge infusion of available homes ... right now, inventory is at historic lows.
You're beginning much too early. If you're relocating around the end of the year, start looking in mid-October. It would also be helpful to zero in on locations ... Houston is a huge area.
Other issues ... Are there any pets? Does anyone smoke? Have there been any previous landlord-tenant issues? Are your employment and credit histories favorable?
I wish you well.