..if you intend on using a desktop in second room, use a simple wired "switch". A wired connection is generally faster than the wireless type.
See an example of a "Range Extender in the link below. It has a 4 port "wired" connection plus it has the ability to use the wireless connection as well. Instructions on syncing the wireless signal with the original router should be included.:
http://www.netgear.com/home/products/wireless-range-extenders/wireless-range-extenders/WN2000RPT.aspx
Or, as in your suggestion, the simple Wireless Access Point below would work as well.
http://www.dlink.com/products/?pid=292
Either way, the primary "wired" router setup doesn't need anything connected to it once you've set it up.. But the primary router WILL need to be secured with its firewall and a good password security so it can't be accessed easily by outside intrusions.
Hope this helps.
Grif
Hi. I am somewhat a noob at this networking thing. I have configured
networks for my internet before but I also had instructions to help me
with the web interface. My question is about creating a repeater bridge.
I need to know if the primary router needs a computer permanently
connected to it via ethernet cable for the repeater bridge to work. My
scenario is that I use this computer in room A with it wired to the
router because when I used to have the computer in a different room I
became unable to get an internet connection wirelessly after it was
working for a while. I want to move this computer into room B
permanently and use the internet via a local, secondary router, thus
making a repeater bridge. To reiterate, I don't whether or not I need
to have a computer connected to the primary router permanently in order
for a repeater bridge to work. My guess is no. If not, do I need a
specific configuration made in the web interface to the primary router
before I head over to room B, or can I simply keep the configuration the
way that it is? My problem is that I am envisioning a router that has
no specific parameters on how to send the wireless signal to the
secondary router. I have instructions on how to configure a repeater
bridge, I just need to know what I have to do to the primary router
before I can make it work. Also, if it is known, I would like to know
if my router can function in a repeater bridge scenario. I am planning
on upgrading the firmware on the secondary router to a DD-WRT firmware.
A guy in a Netgear forum says that my Netgear WGR614 v8 router cannot
function in a repeater set up. Is this true? Do you know?

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic