I agree with Angelo if you have to demo it.
However, I would try to see if you could find any screws that are holding it in place. That way you may be able to just take the screws out and remove the unit. You will still need to remove the crown molding with the hammer and pry bar prior to moving the unit. They may have hidden the screws behind some of the shelves so you may still need to remove them to find the screws.
If you cannot find the screws then you will need to carefully break it apart to remove it.
I hope this helps. Let us know how it goes.