ps3 Internet connection?

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I've waited long enough to do this (probably because I don't know how) but I need to know how to get Internet connection on my ps3. I know I need a wireless router and Ethernet cable but I'm not sure where to go from there. I already have a computer, but its not connected to the Internet by a router, and to connect the cable from my computer to my ps3 would be such a pain in the butt. So I guess I need to know what routers and cables are compatible and how to set it up. Any help is more than greatly appreciated.