Yes, you will be able to move:
Team Names:(available)
Appleton Foxes
Bakersfield Blaze
Beloit Snappers
Bridegport Bluefish
Charleston SeaGulls
Charlotte Knights
Fresno Grizzlies
Greensboro Hornets
Huntsville Stars
Lancaster JetHawks
Las Vegas 51's
Ogden Raptors
Quincy Jets
River City Rascals
Salt Lake Bees
Scranton Miners
Somerset Patriots
Toledo Mudhens
Tri City Atoms
Utica Blue Sox
and yes, you can keep the Astros pitchers forever...............you can only cut ONE squad per season, and you MUST cut one squad per season.