Ideally, you will need a good room (not too dead, not too live), top and bottom mics for the snare, a really good kick mic, mics for each tom plus 2 overhead condensers, and an interface that can accept all those mics. If you have the moolah, try to get good condensers for distance miking, maybe even add a yamaha subkick, if you're really serious. (Hey, you said fully)
The most convenient setup is a 4 mic setup with a snare mic, kick mic and 2 overheads. This will allow you to use a 4-mic input interface, which can be a little bit steep compared to most other entry level audio interfaces. The best would be an 8 mic input interface a la the M-audio Fast Track 8R. Add to that the cost of (long) mic cables, and headphones for monitoring/talkback (plus maybe a headphone amp for long cable runs from the interface to recording position).