Had to post in this thread.
Baseball is the best sport ever to watch, IMHO.
You're already doing the right thing by watching the 27-time world champion New York Yankees, so you're good there. I'd advise you watch some games by other teams too so you can see some different variations of modern team styles:
- watch the KC Royals and their exciting high-average, aggressive-on-the-basepaths baseball.
- watch the powerful pitching of the Mets, or the different styles in the Dodgers' rotation
There's good strategy links in here already, so you're pretty well-covered there.
Additional strategy stuff:
- advanced sabermetric statistics are cool, but never avoid the reality of the eye test; in other words, don't deny yourself the right to believe that guy hitting 98HRs and driving in 200RBI is a good player even if the sabermetrics say he's the worst player in the league because of some freshly-conceived defensive astrophysical equation. Don't ignore sabermetrics...just don't take them as the only rules.
- bunts are great for leadoff men, pitchers, close games and slumpbusters. That guy in a .200, no hits in 30ABs slide might as well get himself going with even a cheap bunt hit. You might even disrupt a defensive shift too!
- BBQ sauce is the ultimate tiebreaking condiment. Fuck ketchup.
- tough a rain delay out. There is baseball at the other end when the rains are over. - and if there isn't (and you're at the game), you get another ticket for the replacement game.
- when in doubt, trust the ace.