Bluetooth is a standard and communications protocol for low cost, low power, low bandwidth, short range communication. You wouldn't want a bluetooth router if such an animal existed.
Here is a list of applications from Wikipedia:
List of applications
<a title="A typical Bluetooth mobile phone headset" class="image" href="http://en.wikipedia.org/wiki/Image:Bluetooth_headset.jpg">
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<a title="Enlarge" class="internal" href="http://en.wikipedia.org/wiki/Image:Bluetooth_headset.jpg"><img width="15" height="11" alt="" src="http://en.wikipedia.org/skins-1.5/common/images/magnify-clip.png" /></a>
A typical Bluetooth <a title="Mobile phone" href="http://en.wikipedia.org/wiki/Mobile_phone">mobile phone</a> <a title="Headset" href="http://en.wikipedia.org/wiki/Headset">headset</a>
<p>More prevalent applications of Bluetooth include:</p>
Wireless control of and communication between a <a title="Mobile phone" href="http://en.wikipedia.org/wiki/Mobile_phone">mobile phone</a> and a <a title="Handsfree" href="http://en.wikipedia.org/wiki/Handsfree">hands-free</a> <a title="Headset" href="http://en.wikipedia.org/wiki/Headset">headset</a>. This was one of the earliest applications to become popular.
Wireless networking between PCs in a confined space and where little bandwidth is required.
Wireless communications with PC input and output devices, the most common being the <a title="Computer mouse" class="mw-redirect" href="http://en.wikipedia.org/wiki/Computer_mouse">mouse</a>, <a title="Computer keyboard" class="mw-redirect" href="http://en.wikipedia.org/wiki/Computer_keyboard">keyboard</a> and <a title="Computer printer" href="http://en.wikipedia.org/wiki/Computer_printer">printer</a>.
Transfer of files between devices with <a title="OBEX" href="http://en.wikipedia.org/wiki/OBEX">OBEX</a>.
Transfer of contact details, calendar appointments, and reminders between devices with OBEX.
Replacement of traditional wired <a title="RS-232" href="http://en.wikipedia.org/wiki/RS-232">serial</a> communications in test equipment, <a title="Global Positioning System" href="http://en.wikipedia.org/wiki/Global_Positioning_System">GPS receivers</a>, medical equipment, bar code scanners, and traffic control devices.
For controls where <a title="Infrared" href="http://en.wikipedia.org/wiki/Infrared">infrared</a> was traditionally used.
Sending small advertisements from Bluetooth enabled advertising hoardings to other, discoverable, Bluetooth devices.
Two seventh-generation <a title="Game consoles" class="mw-redirect" href="http://en.wikipedia.org/wiki/Game_consoles">game consoles</a>, Nintendo's <a title="Wii" href="http://en.wikipedia.org/wiki/Wii">Wii</a><sup class="reference" id="_ref-1"><a title="" href="http://en.wikipedia.org/wiki/Bluetooth#_note-1">[2]</a></sup> and Sony's <a title="PlayStation 3" href="http://en.wikipedia.org/wiki/PlayStation_3">PlayStation 3</a> use Bluetooth for their respective wireless controllers.
Dial-up internet access on personal computer or PDA using a data-capable mobile phone as a modem.
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The router I linked to earlier for Peter (
http://www.newegg.com/product/product.aspx?item=N82E16833127215) is really a good choice, and Newegg is a very reputable vendor. (If you ordered tonight, you would probably have it waiting for you when you got home from work on Friday)
For people who don't feel like looking it up, it is an 802.11N (draft) router with backward compatibility with 802.11g and 802.11b. The 4 physical ports on the device support gigabit ethernet.
For the non-technically inclined here, that means that it is smoking fast. It will handle up to 270mbps over the wireless, and 1000 mbps over the wire connection. For $125 shipped (plus tax), it really is a good deal.