Vanity is stationary as well and he gives 150 XP once a day, indicated by a mirror symbol over his hut. Touching it then instantly gives the XP.
Vanity Smurf does not have his own mini-game, but a photo studio, where the typical white Smurf hat can be added to existing pictures. Once done the pictures can either be uploaded to Facebook (if signed in) or saved on the devices photo library.
(Please note: Vanity Smurf is now also available on Android devices but he does not have the Photo Studio.)