Get a crossover ethernet cable. Connect the 2 computers through thier ethernet ports, then you have to change the IP addresses of both computers.
Comp 1: 192.168.0.1
Comp 2:192.168.0.2
Use: 192.168.0.1 as the Default gateway.
You'll have to reboot both computers and then they each computer should show up in the others network connections. Also, make sure you share the folder with your music or you wont be able to see it. YOu can now browse your old computer and drag and drop all the files you want. I hope this makes sense...