There are two parts to the idea
First and probably the simplest (Delete)
Select and right click a file. Select from the context menu "Delete Parent Folder", this would delete the file selected, all other files in the Parent Folder and the Parent Folder itself.
Second (Move)
Select and right click a file. Select from the context menu "Move Parent Folder", this would then expand to another level and offer a selection of (user) pre-defined destinations*, selection of which would move the file, all other files in the Parent Folder and the Parent Folder itself to the selected destination.
(user) pre-defined destinations* - This may have a field where an new entry may be added to the options, and a delete option like in IE 9's address pull-down.
There may be a need for a confirmation dialogue for delete move
This might also fit as "Move Parent to" in the context menu next to Send to
With the sub-menu being
Recycle Bin Delete
New Location Enter New Location
Location 1
Location 2
etc.
Others may also find a third option of "Copy Parent to" useful, though personally I have no use