Hey Greg. My first choice would be a Mac.
But my Father-in-Law was just in the market for a new PC, with similar needs as yours.
He bought this. It seems to have gotten decent reviews on Cnet and Amazon.
He likes it. he has mounted to the back of his monitor, but also with an HDMI to his Flat screen tv. comes with cordless mouse/keyboard Major downside is no optical drive.
It does have a built in wireless, so it will hook up to your home wi fi. basically the only cords you would need are for the power and the monitor.
http://www.amazon.com/Acer-AspireRev...ref=pd_cp_pc_1