Before picking up a stray dog or cat, please ask yourself: I'm I willing to keep this animal for at least few days until I can find the owners. Most shelters in San Antonio are always full. So in most cases, you won't be able to drop him/her off at the nearest shelter right after picking up.
Please see this website for addditional info on saving strays. The document is a work in progress:
http://docs.google.com/View?id=ddtbr7bw_94fpbtt4fs