Dear Mary Beth,
Having lived in Austin for over twenty years I can say that I feel safe. When I first got here it had a more "small twon" feel to it and I rarely locked my door and often left stuff in the back seat of my unlocked car without thinking twice. Now I might not do that becasue our population has grown tremendously. When that happens the level of crime does seem to rise a bit. However I think Austin is as safe as any other city of this size. If you have concerns check out the crime stats for the neighborhood you are considering and make an informed decision. Good luck!
Betina Foreman, Realtor Austin Texas