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San Francisco Giants
The Giants have not made a postseason since 2003, so most of their players don't have much experience in the playoffs. They have a few players with experience in the postseason, like Pat Burrel and Juan Uribe, but none have done extremely well.
Some of their starting pitchers have done good against the Phillies in the past. Tim Lincecum had a 2.16 ERA against them in one game this season, Jonathan Sanchez had a 1.38 ERA against them in 2 games this season, and Matt Cain had a 3.00 ERA in one game.
The Braves have not made a postseason since 2005, so they also do not have many players with postseason experience. They do have a couple, though. Derek Lee had a .333 batting average in the 2007 postseason and a .545 batting average in the 2008 postseason, but he didn't play for many games in either.
Omar Infante had a .333 batting average in the 2006 postseason, but he only played in three games.
Melky Cabrera has had some experience in the postseason, having a .271 batting average in 13 playoff games last year.
The Braves play the Phillies a lot, and have some pitchers that do very well against them. Tommy Hanson had a 1.21 ERA in four games this season, and Tim Hudson had a 3.79 ERA in three games against the Phillies.
Who do the Phillies want to play?
Because the Braves have some players with postseason experience, and because they have some pitchers who do good against the Phillies, I would pick the Giants.