Networking for MP3 fun... or Help Me, I'm a Noob.

[blueerica]

I figured this would be a good place to ask, since I tend to get some solid advice around here... solid advice that makes sense to someone that doesn't know all that much about whatever she's asking about.

We just got a second computer. We'll call the older computer Computer A, and the new one will be B. Computers A & B are both running Vista. The mp3 library is on Computer A's hard drive, but I would like to network the computers so that Computer B will have access to the mp3 files as well.

I've looked it up on teh intrawebs, and I can't find anything pertinent to what I'm asking, and I don't think it needs to be as complicated as it needs to be. They're both connected through a router. I'm figuring that I could just take the file protection off of Computer A, and that would work, but before doing that, I just wanted to make sure it's the right thing to do.

I am also considering getting an external drive to put the music on. Is there a way that I can have the two computer share the external drive, or will that not make things any better or easier. Both computers have ample space, so it's not an issue I'm concerned with in terms of getting the music off the drive, though it could be a nice thing if and when we're on the road.

Any ideas on what I could/should do?

Thanks...