There are several areas to look in. Homes nearest to the U of A are the most convenient, but you will pay a higher price. You can go farther North, or if you are a biker or have a car, the Eastside. has some nice neighborhoods at more affordable prices. Farther West, off Player's Club Dr. there are some condos that are used by U of A students and it's about a 15 min. drive.
The first question I would ask is what is your budget and what type of home are you looking for? As Realtors, we can't comment on the safety of a particular neighborhood, but I would be happy to send you a link to our Tucson Crime Statistics site where you can look at an area and see the amount and types of crime, if any.
Please let me know more about your plans and I'll customize a search to your particular needs and timeline.