Correction to my earlier post. I did a little research and discovered the following. Appearently, the Larry Bird Rights may apply to multiple players.
Larry Bird rights are the rights of a team to go over the salary cap to sign its own free agents. One provision of the Bird rule is that the player must be with the team for three years. If you sign a free-agent contract with a new team, the three-year count starts when you sign it. But this does not apply when a player is traded. When a player is traded, his Bird rights go with his.