Thanks to all of your help, I'm close to nailing down what components I'm going to buy this week.
Forgive my limited artistic skills, but I created a basic chart showing how I think the components should be connected. Please let me know if I am wrong/it will cause problems/or if there is a better way.
In particular, can I connect my PC's audio directly to the receiver, while the video goes directly to the TV? I don't want to get another graphics card just to get a straight HDMI connection from my PC to the TV. Instead, can I just connect the 3.5mm optical out from my PC to the receiver as shown?