Hi Spaz,
Basically, with recording into a computer, there's two main obstacles to get over:
1. Getting the bass into the computer's soundcard.
2. Having some kind of recording software to actually record it with.
I usually go straight into my soundcard (Creative SoundBlaster Audigy 2). Some soundcards have a 1/4" guitar cable input and you can plug straight into them, but then again a whole lot of soundcards don't (like mine), which means you'd have to buy an adapter at RadioShack or a local music store...you'll need to ask them for a 1/4" inch female mono to 1/8" inch stereo male adapter.
As far as recording software, there are a few free ones out there on the internet. Here's a link to some free ones I found
http://www.pcmus.com/Free-Software.htm....I've never used any of these, so I can't say how good they are or how easy they are to use. Maybe some other TB'ers know of some more free ones. Hope this helps...