The 'transition' involves the transfer of power from one president to another. In recent times, the incoming President has designated a Director of the Transition, a team leader, to oversee and administer the orderly transfer of power.
I would argue that the next President, either Bush or Gore, should strike a 'national' posture, exhibiting generosity toward the defeated opponent, but proceeding with determination to implement an agenda.
Favoritism' is always a factor, and pressure always build for the appointment of friends of influential supporters of the President, or for the nominees of powerful Member of Congress from the incoming President's party.