Greensboro seems to be an up & coming city...they try at least. Crime probably similar to Richmond (maybe a little less...but not much)...can get to a lot of places fairly quick...Raleigh, Charlotte, beaches, mountains...etc.
If you could not find a job in Charlotte or Raleigh area...Greensboro might be just as challenging.
I agree with WFW&P...do not move without a job. Good Luck!
fyi...IMO...for a young single professional...there is only 1 city for you in NC....C H A R L O T T E!!!