It appears you want a splitter.
Basically I want to maintain my dual-monitor viewing while also enabling streaming from my PC to HDTV but the graphics card only has two support slots (both taken up by the monitors)> My solution seems to be an HDMI "Switch" like this one http://www.newegg.com/Product/Product.aspx?Item=N82E16812186196
Can anyone tell me how this would work? Well there are 3 "in" and 1 "out". Does this device require direct connection to my gpu? If so..I would assume the "out" slot would be from the switcher to one of the gpu slots? I can then have the other gpu slot dedicated to the main monitor and then one of the "in" device slots could go to the TV?

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic