360 Monitor hookup

I recently purchased an 360 VGa cable that allows my xbox to hook up to my comp

but its kind of annoying to switch when i want to access my computer.

im buying a new monitor and a computer. Computer custom built, but my graphics card only supports DVI component.

the monitor im trying to buy is a samsung 22"

http://www.costco.com/Browse/Product.aspx?Prodid=11297173

is there a way to not have to reach behind my monitor everytime i want to switch from my computer to my xbox?