Hey Rob,
I've been doing this for years pretty much the way MikeC described the process, except I used my old cassette walkman and a cheap piece of software the put out by Microsoft called
Plus! Digital Media Edition. It's $15 for the software and comes with tools to remove pops and hisses from analog recordings and it's really simple to use.
I got a 6' mini to mini jack cable at Radio Shack for about $10 and I was in business.