THE SOLUTION:
The sixth team that Tim likes is the Dodgers. The reason? Each team plays its home games in a ballpark named after the team:
The Angels play at Angels Stadium;
The Nationals play at Nationals Park;
The Orioles play at Oriole Park;
The Rangers play at Rangers Ballpark;
The Yankees play at (New) Yankee Stadium; and
The Dodgers play at Dodger Stadium.