Obviously being a Sox fan my picks may seem biased, but I will try and give a little background as to why I chose them.
Red Sox vs LAA- Red Sox win in 4 games. History says the Sox. The only SP LA has that I don't like is Kazmir. He seems to pitch good against the Sox. Beckett/Lester> Lackey/Weaver
NY Yankees vs Twins- Arod, CC both have playoff issues. Joba has fallen off. This isn't as cut and dry as it was say a couple months ago when the Yanks were steam rolling. The Twins are coming off a huge win and have great momentum, and we have all seen what that can do. So with the Yankees struggles in 5 game series, and the Twin momentum I'm going with the Twins in 5 games.
Phillies vs Rockies- I was going to go Rockies, but with De La Rosa being out I think the Phillies have too much pitching. Phillies in 5
St. Louis vs LAD- St. Louis has the pitching and the lineup. St. Louis in 3.
Boston vs Twins- Sox have more pitching. I expect the Twins to be some what tired from the Yankees series, but still riding the momentum bus. Red Sox in 6 games.
St. Louis vs Phillies- This could be a really good series. Good pitching match ups, deep lineups. Phillies make a run, but in the end Carpenter and Wainwright are too much. St. Louis in 6 games
Red Sox vs St. Louis- Beckett/Lester= Carpenter/Wainwright. Buchholz/Dice-K > Pinerio/Lohse/Smoltz.
Sox BP > St. Louis. Red Sox in 7 games.
I will add if that I believe the Champion will be one of St. Louis, LAA, NYY, BOS. Obviously I chose the path that leads to a Red Sox WS championship. But I fully expect the Champions to be one of the four.