You can now link your Facebook and Vimeo accounts together using Facebook Connect! To do it, go to your settings page and click the connect button on the bottom right. Once connected, you can sign into Vimeo using your Facebook username and password, and your likes and uploads will be automatically pushed to your Facebook news feed (you can turn that off on your extending Vimeo settings page).
After connecting, go to facebook.com/editapps.php and click Edit Settings for the Vimeo Connect app. On that pop-up screen...select "Allow Vimeo Connect to publish specific story sizes automatically without prompting." and then select "Short". This will let Vimeo automatically post a Short story, versus a one line story. Short stories include your videos title and a thumbnail image which can be clicked and turned into a Vimeo embed player!