Are you interested in finding out information about each team and how they fare against the other teams? One way to do that is to read the Game Notes that each major league team produces before the game. It is the same information that the broadcasters use in their game.
Some teams are quicker about putting them out than others. Here are the links to each teams notes.
AL East AL Central AL West
NL East NL Central NL West
Some teams produced PostGame Notes. To find those go to the website of the team, click on news and wait for the menu bar to pop up and look at all the choices you have.