Moving the tavern from one world to another was always a bit of a hassle, since all his existing guests had to check out, lest they wake up in a new world. Fortunately, it was very easy for Lex to just plant an idea into their heads prompting them to leave the tavern for whatever reason.
The only good thing was that moving the tavern from planet to planet was very easy, so he could return to Azula any time he wanted, which he planned on doing soon. He was not yet done with the saga of the huntress, the alchemist and the few others he had been guiding.
The tavern was also mostly hassle free. It was like a hitchhiker, jumping from planet to planet as it desired, and all he really needed to go to a specific planet rather than a random one was an item belonging to that planet. Since he himself was literally standing on Yildirim Utopia, that was particularly easy.