Thirded.
Alternately, you could set up a wired or wireless network between the two computers, though depending on your network card, the transfer rate for 24 days worth of music might not be great shakes, or you can get a
bridged USB cable. If both your computers support USB 2.0, that can allow for 480Mbps transfer rate, or 60 megabytes/second. Of course, this would also depend on how fast your various buses are, but it's a decent speed nonetheless.
(The advantage to the latter option, of course, is not having to pay for an external hard drive... but as I have two external hard drives, I'd still say it's the best bet.)