To use the Personal Library fully, you must have registered an Account...
you can then Login and store you choices for safe keeping in your Personal Library and access them from any computer worldwide...anytime.
Clicking "Move to List...My Personal Library"will place your item choice into your Personal Library and be stored until you want to retrieve it.
Clicking "Library" will move the item out of your Personal Library into the waiting area in the Library.
Clicking the will delete it.