Uploading MP3 files

I need to create functionality for a personal project which allows me to
upload and store MP3 or Ogg Vorbis sound files that can later be
downloaded by a user, however, after looking at a couple of tutorials,
I'm just as lost and confused as before.
The major problem I have is that most tutorials talk about uploading
image files and do it that way, however, I'm not sure what I need to
change and where to make them compatible with sound files.

Would anyone be able to help point me in the right direction, give me
some tips or show some example code from a project? I'd really
appreciate the help.

Thanks.

Just use the attachement_fu plugin. Most of the examples use images
because the plugin is able to resize thumbnails and such which is only
relevant to images. You can follow the same tutorials and omit the
image related stuff.