When I watch baseball I like to have as much information as possible. The announcers basically say nothing I don’t know, in fact most of they time they talk nonsense (especially Michael Kay who is a corporate mouthpiece for the Yankees)
What I do is look up players as they come up. I look up their minor league stats, I look up where they habe played, who their teamates were and on and on.
I always use baseball-reference.com. BBref is by far the best, most comprehensive and fastest loading website on baseball. BBref is like having the old baseball encyclopidia on your lap while watching a game.
I love the game and love to consume the game as I watch it.