I turned to random.org to help decide who would get the cards that featured a player or players from more than one team. Here are the results, with the team receiving the card indicated by the arrow.
David Ortiz (Twins/Red Sox) -----> Twins
Mark Teixeira/Jim Edmonds (Rangers/Cardinals) -----> Rangers
Nomar Garciaparra (Red Sox/Cubs) -----> Cubs
Alfonso Soriano (Yankees/Rangers) -----> Yankees
Dale Murphy (Braves/Phillies) -----> Braves