The Dallas Stars are not moving to Austin. There is a new AHL team that going to start in Austin for the 09-10 season and will be a top affiliate of the NHL Dallas Stars. Each NHL team typically has a "farm" team in the AHL that they develop new talent in... the Texas Stars in Austin will be that new team.

Wikipedia Link:
http://en.wikipedia.org/wiki/Texas_Stars

Wikipedia Excerpt:
The Texas Stars are an announced American Hockey League team. They will begin play in Cedar Park, Texas in the 2009-10 AHL season.

The team will be the top affiliate of the NHL Dallas Stars. In April 2008, the Iowa Stars announced that they would no longer affiliate with the Dallas Stars. For the 2008-09 season, Dallas made agreements to send their AHL prospects to four different teams. AHL teams which the Dallas Stars sent prospects to include the Hamilton Bulldogs, Iowa Chops, Manitoba Moose, Peoria Rivermen, and Grand Rapids Griffins.

FYI:
The Iowa Chops used to be the Dallas Stars affilliate AHL team named the Iowa Stars until the Dallas Stars announced that they would be associating with the new AHL Texas Stars. The Iowa Chops have now signed with the Anaheim Ducks.