We live in Park Slope, Brooklyn, and it's pretty gentrified and safe.
Mrs. Bee tends to value personal security higher than I do. I usually live in more dangerous areas b/c the rent is cheaper (I've been mugged/attacked before, and in the end it all worked out). That sort of calculus doesn't really work though when you have a family though.
Lately there have been reports of a Park Slope rapist going around, and sketches of the rapist posted in all the local coffee shops. It's been a good reminder that feeling safe is important, and that the safety of your family is priceless.
Is the neighborhood where you live safe? Are you considering moving to a more safe neighborhood... or would you consider moving to a more dangerous neighborhood if you could save say, 50% of rent?