I hope you're a BSN grad. Even then, it is currently a very challenging environment for new grads right now. Seems like everyone is beating a path to our city these days.... maybe they saw Forbes Magazine article naming Houston as the Coolest City in America
??? LOL Houston Tops Our List Of America's Coolest Cities - Forbes
If you're concerned about crime, take a look at the official stats on this site rather than relying on subjective viewpoints: Neighborhood (Police Beat) Crime Statistics
We're a very large and diverse city, and people tend to overestimate the 'danger' of any neighborhood that doesn't look like theirs.
Houston is wonderfully affordable. All kinds of housing options in all different areas of our huge city. Commutes can become the stuff of nightmares, so get a job first then
decide on housing. If you can, I would hold off on your move until the October-ish in order to avoid the worst of the Summer heat and hurricane season. But just to set the record straight, we DO have four seasons:Almost Summer, Summer, Still Summer, and Christmas. LOL Cost of living may not exactly be lower for you, but the lack of state income tax will certainly be a relief.
I suggest you focus your job search outside The Medical Center.
Waay too much competition for scarce new grad jobs and the commute/ parking situation is ridiculous. You may even want to take a look at facilities closer to the Gulf if you like the beach - there are a lot of options.