Definitely install a security system that has 24 hr monitoring. I own houses in the area and while they were being fixed I've had people try to break in. The alarm company called me when the alarm was going off and the police were dispatched... more
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.