A.B.
Hi:
San Antonio is my hometown: I grew up there. My parents live on the NE part of town near 1604 and I-35. That area, along with the rest of the city, has exploded population-wise since I left in 1999, so while it is probably relatively safe, I don't know if it is as safe as it used to be. If I were to move back I would probably look for a place on the North (think 281 north/1604) or Northwest side (I-10/1604).
Good luck! And GO SPURS GO! :-)