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.
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
Others may also find a third option of "Copy Parent to" useful, though personally I have no use