Create a drag and drop page in Joomla - repost

We are a band playing party music and we would like our customers to be able to setup their own song list for a night with our band. The webpage is in Joomla and we would like this page to be a drag and drop page. So in the left side of the page all the songs from our repetoire is listed and in the right side there are 4 boxes where you can drop up to 15 songs in each box. These 4 boxes will be the sets we are playing on a given night. It's important that the design is nice and the functionality is good. We have around 140 songs in our repetoire at the moment but the system should make it possible to add new songs.