Yeah, the Bump app is awesome - if you're wanting to connect to other, non-Apple phones to share info. Heck, the Bump app just got updated the other day and now you can "bump" documents from within your Dropbox (online storage).
So, you can transfer pictures, songs, contact info, documents/files stored within the Bump app AND now file/documents stored on Dropbox.
Yes, the other phone has to have the Bump app also, but it's available for Android, too (Google Play store). I've used it successfully with someone who owned an Android phone (don't remember which one, specifically). Easy peasy!