A desoldering iron is a Soldering Iron made specially for desoldering.  Generally they have a hollow tip iron combined with a Desoldering Tool of some variety.  I've yet to use one that was terribly effective without modification.  A vaccum-cleaner mod to one of these tools is a great budget tool.  You can think of a desoldering iron as a middle ground between a regular iron combined with a desoldering tool and a Desoldering Station.
Here is a pic of the $7 radioshack one. It works great for me (Ben Ogle).  A cheap mod that can be done to this tool to increase its effectiveness is to cut the red bulb in half and duct-tape it securely to the suction end of a vacuum cleaner.  Works much better than having to compress the bulb prior to using it - I made a mess a lot doing that. (Dave B?)
 
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