Both of the recordings I made to the recording booth
here:-
I gave you fair warning
and here:-
Jazz interpretation of traditional song
(These have been included here for ease of access and not in the name of shameless self-promotion)
were made in a very basic fashion. I simply took a basic PC mic, stuck it in the soundhole and recorded using the software that came with the soundcard. I then converted the file to mp3 format. Have a listen and judge the sound quality for yourself. If you're not impressed then you'll probably have to look at some of the other suggestions made. If you do go this way take care with the recording level. Too low and you won't hear much, too high and the sound card can't deal with it. I found that 80-85% was about right.
Good luck,
Simon