Here are links to the Pensacola Police Dept. and the Escambia County Sheriff's Dept.
These are the two primary law enforcement agencies in the county. They should be able to provide quite a bit of crime related information to you.
As in many areas, you can have pockets of good neighborhoods in area where crime might be a problem and pockets of crime in generally good neighborhoods. I can tell you from working with my clients over the years that many people prefer the northeast region of Pensacola for many reasons including proximity to medical and educational institutions, shopping and entertainment, good schools and neighborhoods. But virtually every area of the county has something good to offer; it all depends on your needs and tastes.
If you can, check with some of your fellow military personnel as they can offer you their insight and first hand experience. Feel free to contact me for additional information. And, best of luck in your career!