Hello Mr. Rasmussen,
You have the right idea to rent since you are not familiar with Houston. Where are you moving from? Which part of town will you be working in? Can you give me some more information on the type of housing you are interested in? I can help narrow down some searches and send you information by email. Landlords want to know how many people, if you have pets, if you smoke, and also check your credit and criminal background.
If you rent a single family home, generally there is a one-month deposit besides the first month rent that is due. Apartments differ in the deposit, however, better to be on the safe side and assume one month's rent deposit as well.
Depending on the area and how far in advance you are looking to lease, it would be a good idea to lease ahead of time, because availability is getter harder.
I will be happy to help you with several resources, if you would like to work with me. Please email or call and I can give you an idea of the rental and purchasing processes.
Best wishes on your move.