Caution
What is it you want to get rid off from your Desktop ?
Icons of your Hard Drive can be turned Off in the Finder's Menu > Preferences > General section.
Same for External Drives and Thumb/USB drives, CDs and DVD and some peripheral items like iPods or servers
Dragging these to the Trash normally Ejects/Unmounts them.
If by any chance you meant
Move when you used the word
Delete then use the Finder to open up the folder where you want to store the item. (Except Drives and Disk and things mentioned above)
8:32 PM Tuesday; March 29, 2011