In order to retain the original coordinates/coordinate system, you may want to consider setting up a UCS. [UCS > Origin].
Just out of curiosity, why would you want to change the original coordinates? They're probably high for a reason (State Plane, UTM...). If you muck with moving objects from their original coords, it could cause you problems down the line when trying to import/export objects, xrefs, etc.
<edit> if you just want to move objects in Paperspace (title blocks , notes, etc.) ignore what I said and follow Bob's suggestion.