Stupid questions about baseball

What does a baseball player at bat do with the actual bat when he's hit the ball and starts running? nazgulwears said 'drop it', but I can't quite imagine it. Where would he leave it? How does he recover it? Is it his own bat, or does everybody bat with the same bat?

There's a virtual baseball game in Milliways that'll start pre-threading this weekend; so far I have read up on the rules etc., but that one part still makes me wonder.

Also, can somebody recommend me a YouTube link to, let's say, ten minutes of a baseball game that's really typical and has some interesting if standard things happening in it? There is lots of baseball on YouTube, but I can't really tell what would be educational to watch.

Thanks in advance!

ETA: Which of these four icons should I use as baseball icons for Teja, in the game, and for context? I just made them myself from Corbis stock; but if there's a more iconic icon, or somebody running with a bat (see thread with i_open_doors within), I'd use that just as readily.-

Supernatural season 5 premiere -- running commentary

( Spoilers -- duh! )

Special thanks to authorm and silveraspen both, without whom I would never have got into 'Supernatural' in the first place!