I wouldn't say its a big problem, but it's always a possibility. I personally own and live in property nearby the area and my wife and I were concerned about the same issue when we were in the process of renovating a foreclosed home. Ultimately, reach out to your neighbors, give them your number, share your concern. I know my neighbors are great for keeping an eye out for each other's property and security. Definately, stop by unexpectedly and sporatically. And lastly, hire a good crew that will make sure to keep they're belongings minimal and secure, and as out of site as possible. Good luck with your endevour however far along you are and if you need anything, feel free to contact me as a neighbor.
They say that beauty is in the eye of the beholder. Well... that statement is true of many things when it comes to feelings... and even facts. What I mean to say is that while my personal filter may tolerate very little of something, or lots of something else... your feelings might be the polar opposite.
With that said... the best way for you to get the answer you seek is to speak to people who already live there. They would know better than anyone. Another resource that is often overlooked is the police department. Pay them a visit and ask about the number (and types) of incident reports that are generated on that street. This might be the best way for you to gauge what goes on there... rather than relying strictly on the word of mouth from certain local residents (who might NOT have all the facts).
Good luck... and feel fre to reach me anytime to get more REAL ANSWERS to your REAL ESTATE questions!!