You can make Bambuser links point to any site of yours; see the Settings on your Dashboard.

To make use of this, sign in to your Bambuser account and go to your Dashboard, where you'll find "Settings" on the right side of the screen. Scroll down to "Connect" and set a customized URL which all the broadcast links for your account will point to. Connect to any service you automatically want to post to, and all posted links will point viewers to your site.