Howdy Dave, and Welcome to Chordie from the Great NorthWest!
You have a couple of good options out there depending on the format that you want to upload your music. Old time semi-pros like Russell Harding (our esteemed Alien Moderator and Recording Guru) have pretty much mastered the fine art of getting their stuff out there for all of us to enjoy.... in video-land via a personal you-tube channel. Pete Benson, dirty Ed, Mekidsmom (Amy) and others (sorry Wayne I almost forgot to mention you, and there are lots more if my brain was working right this evening). Of course one or more of our membership will be along to offer suggestions, but here's mine for the "what it's worth department".
Sounds like you are not doing video (yet but you will one day), so I will direct you to a site that others here on chordie have used to host their audio music projects... www.reverbnation.com
You can set up a Basic account (FREE!) and the only limit is that you have to keep your upload file size below 8Mb. Unlimited up and down and a fair amount of space to store them on their server. Then you just post the link in a forum posting under my local band, and stand by for comments and encouragement.
Chordie is not a hosting service so really it is not possible to just upload your stuff here for general consumption. Original Lyrics and music (paper) can be posted in the songwriting section and you can also link to your audio rendition so folks know what you really had in mind when you wrote it.
Hope that is helpful, and Again WELCOME to the Club!
Doug
"what is this quintessence of dust?" - Shakespeare