New Census data shows fewer Americans moving in 2008 than in any year since 1962. Also, immigration from overseas was the lowest in more than a decade. The declines appeared to be directly related to the housing slump and the recession. From the NYT:
Moves from one state to another plunged the most, to half the rate recorded at the beginning of the decade. There were fewer total moves than in any year since 1949-50, when returning veterans and others streamed to the suburbs and the nation's population was about half of what it is today. "It does show that the U.S. population, often thought of as the most mobile in the developed world, seems to have been stopped dead in its tracks due to a confluence of constraints posed by a tough economic spell," said [William H. Frey, a demographer with the Brookings Institution].
I didn't come across any localized breakout. Here's the Census press release.