Sadly there isn't really a good way to get the cover of the storage compartment off without doing pretty much what Kris said, you need to pull the rear center console trim where the cup holders are, the front trim where the shifter is, then pull out the HVAC/RADIO panel which comes out all as one section IIRC. After that you'll have access to a couple screws that hold that top compartment in. Once it's removed I don't think it'll be too hard to figure out how to remove the door, but I've never done it personally.