Router, Nintendo Wii, and Netflix

We needed to buy a new router for our household computers.  We've had so many problems with the old one.  We bought a Linksys router and we have all four computers routed through them plus my iPod Touch can get online through it as well. I want to hook up our Nintendo Wii too but I am kind of technologically deficient when it comes to televisions (watch me try to hook up a DVD player or record a movie and you'll see that easily).  Has anybody done this? 

I think there is a way to use our Netflix through it as well so we can watch movies by downloading instead of waiting for them through the mail.  Again, no clue how to do it though.