The best way to get back into baseball is to pick a pitcher to follow. Follow their starts and their stats. Get to know the pitches that they throw really well. Figure out how many pitches they can usually throw per game, and watch the differences in pitch calling when they are having a good game versus a bad game.
Definition of a beautiful thing: Your favorite pitcher, high in the pitch count, is staying later in the the game that he usually does because he's locked in a really good rhythm and throwing like a sonofabitch. At the plate is a dude he usually has terrible luck with and after a ten pitch battle, your guy strikes that motherfucker out. You'll smile. You'll be filled with joy that a guy you have no personal connection with kicked some serious ass, you'll turn to your buddy and say: "holy shit -- he finally got him, eh?"