I'd stay in the hotel where the orientation will be (if that is how it's being run this time). But it's worth staying in San Antonio for a day or two extra to get a feel of the place if you can. Both of our children were born in San Antonio so it's good to have a sense of the city. If you've never been, the Riverwalk is a great place to stay because you can walk around and get a sense of the culture of the city. The Pearl District and King Williams District are fun places to walk around. Definitely get some barbeque and some Mexican food. The tortillas in San Antonio are amazing!
Welcome to the Abrazo family and feel free to ask any questions here. There's always someone willing to chime in!