A magician's change bag can be used for various different switches. Put in a blue napkin, wave your hand over the bag, and a white napkin appears. 

Take a rope and cut it into dozens of pieces and say the magic words... then remove a whole rope! Then you can show the inside of the bag is empty (you can show the inside of the change bag is empty before the trick too)

This change bag is a good quality basic change bag. It looks nice and it gets the job done. It has a painted wooden handle and frame, and the bag is shiny velvet.

You can easily open one compartment or another with just your hand holding the handle, you don't need to reach inside the bag at all. It all seems very fair to the audience.