Setting up cable router, anti static wrist strap questions.

I bumped my other thread a few times, it had a different title so I guess I couldn't get much help.

Anyways, my new computer is going to arrive soon and I am going to get a wired router (I guess lynksys brand if it's good) and then I don't know how I am going to be able to set it up. I know the I guess physical part, putting cable into router then cabling them to both computers. But I don't know how I am going to set it up for the computer technical parts. Like making sure it's always connected to the internet and what not. I don't know if maybe I have to go into like internet properties or what.

Also, about the wrist strap. I bought one and will use it when building my new computer. I just don't know how I am supposed to use it. After grounding myself I should just attach the clip to the case? Or do I just attach it to a piece of metal besides the case. I know not to be putting it on the mobo or anything like that, I just don't know exactly how I am going to set it up. Maybe just get a metal screw clip it to the end and put it in my pocket or something so I don't worry about the wrist strap length?

Sorry if these questions are stupid and noobish.