How can I make different domain short URLS on wordpress?

At the moment I am buying cheap domains and using yourrls script to make short URLS is there a way of doing this automatically in wordpress and for it to show on post pages? I know I have not explained this very well but you know on wordpress when you make a post you can click ?get short link? is there a way I can do this with custom domains instead of wp and for this to show on the post for users to give them a choice of domains?