What is a CNC Router?
In simple terms a CNC router is a mechanism that is controlled by a computer to move a wood cutting router in three dimensions. It can cut wood or plastic but usually metal cutting is reserved for a heavier built machine like a CNC mill.
CNC routers take many forms, here is a link to one manufacturer, but many people choose to build their own. http://www.k2cnc.com/CNC_Router_CNC_Machines_All_Quotes_Router.asp
Here are some videos of CNC cutting, from a basic home built one to a fancy dancy commercial machine. There are tons of other videos on youtube.
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