Battery charger is the dock that comes with it, plug it into an AC outlet and drop your iPod in and it will charge.
The ipod doesn't support USB, as stated by scotty2. You will need a firewire (aka IEEE 1324) port to access it. If you don't have any on your computer, you need an adapter. Go to Invalid Link Removed and search for "firewire PCI adapter" and you will get what you seek.