I always suggest that clients check out http://www.washigntonpost.com/crime or http://www.crimereports.com to see what the police are reporting for a given neighborhood.
Be sure to check out the neighborhood your considering moving to and a neighborhood where you feel safe. That way you can compare statistically what is happening in both areas.
Also, go through the neighborhood you're considering at various times of the day and various days of the week. If you don't feel safe there then it's not the right choice for you.