As a Realtor, we can't comment on the crime. However, there is a web site for that, please go to: http://cms3.tucsonaz.gov/police/stats (as the police department referred you to).
As a buyer's agent, I always provide to all my buyers the Buyer's Advisory, which contains a plethora of information & live links, including the link above regarding crime statistics.
If you are not already working with a Realtor, please give me a call as I can help. I live and work in Central Tucson.
Best of luck to you.