You can add several badges and buttons to your site from Tripadvisor, Flipkey, Facebook and Twitter.
Pick the Widget option in the left column and choose the badge. You can only add badges that you qualify for (e.g. you can only place the Excellence Badge if Tripadvisor awarded you such).
Fill the complete URL of the corresponding site, e.g.
http://www.flipkey.com/frontdesk/view/5328/hugo+lingeman/ (find your listing on Flipkey and then click 'more about this owner' in the owner information)
Do you want to add a Tripadvisor review snippet? Then learn how to.