Collette, I do exactly what Tess said. I host my audio files on my own webhost. Then post a link (using a player) on Wordpress. I actually am now using Wordpress.org and use a plug-in called Podpress.
Podbean is a nice alternative, however, if you do have your own hosting setup. The other place you can try is a service called Libsyn.
http://www.libsyn.com/index.php?&mode=logout&message= There is a fee, it is not free, but very affordable.