Well the reason why you can't normally transfer music from an iPod to a computer is to prevent people from just wildly copying music off their iPod to everyones computers, as this is stealing. Really what you should do is just use some form of external hard drive, flash drive, or burn a few data DVDs (assuming you have that much music) and copy it over manually. Another possibility is to connect the computers in a computer to computer network and do a file transfer.
My old computor is dead, not turning on style dead. Theres no way I can copy the music across..
Got 20 bucks to spend on one of the most useful technological devices in existence that has saved thousand of people millions of dollars over the years?
http://www.amazon.com/Sabrent-USB-DSC5-3-5-Inch-Converter-Adapter/dp/B000HJ99DI
http://www.newegg.com/Product/Product.aspx?Item=N82E16812232002
Either of those will work equally well. You just take the hard drive out of your old computer, plug it into your new computer, and you can get every single solitary file that you had back. If you don't feel like delving into the unknown, any computer repair shop (for a small fee) can get the information off your old computer and give it to you on a couple of DVDs or whatever method is easiest for you.