Wikipedia has a decent article on that: https://en.wikipedia.org/wiki/Black_flight

This may be the relevant bit: "With the reverse movement of the New Great Migration, the South has been the gaining region for black migrants coming from all three other census regions, especially from 1995 to 2000. The chief gaining states have been Georgia, Texas, North Carolina, Florida, Maryland, Virginia and Tennessee. In the same period, Georgia, Texas and Maryland attracted the most black college graduates. Houston and Dallas center cities have lost black population as the middle class has moved to the suburbs. In a change from previous settlement patterns, new regional migrants settle directly in the suburbs, the areas of largest residential growth and often the location of jobs as well.[21] In addition to Atlanta, the top metropolitan areas attracting African Americans include Orlando, Jacksonville and Tallahassee, Florida; and Charlotte, North Carolina.[22]"

I'll add that to the post now.