You can have avatars, i.e. image next to your name. I am making this option only available with a link right now to save bandwidth and hard drive space.
For free storage, and also relative anonymity (i.e. if you don't want to use your own server) I recommend
http://photobucket.com
You can then upload all sorts of files there and link them here, also in your posts. Like all those touchdowns you scored as the star fullback on your high school team, your supermodel girlfriend, etc.