Princess...I think the big hospitals in San Antonio pay about the same...they know they are competing with each other for nurses. I'd base my decision more on the benefits, unit that I wanted to work on, how far the commute is etc. The major hospital systems are the Methodist, Baptist, University, and Christus.
The University Hospital System is a teaching hospital and you will have residents, attendings and medical students around. Some nurses like that (me for instance) because it provides an environment of learning and not just..."we've always done it that way". Another aspect of University Hospital is that it provides a tremendous amount of free and indigent care and you have the opportunity to work with patients who may have had little or no health care and education.
Christus Santa Rosa also has residents for some services so the working environment has some similarities but perhaps on a smaller scale. CSR also cares for a LOT of indigent, poor children so if pediatrics is your thing...this is a good place to work.
My daughter works as an RN at Methodist and she loves it. She has been there for 5+ years and she thinks the benefits are good and won't consider leaving.
The Baptist Healthcare system has struggled a bit financially over the years but I think that most of that is behind them. I have friends who have loved working there and others who hated it. I am sure it depends on the unit you choose and which nurse you ask!!
Another hospital in town is the SW General Hospital but I honestly don't know much about it.
Good luck with your job search