Anyone know how to connect the Wii to the Internet using a Wired Connection?

Only ports I see that could be used for such a thing would be the USB ports on back.

Do I need to buy another separate item to connect the Wii by a Wired Connection?

Already tried using a Wireless Connection; my Wireless Router sucks, I've been through 2-3 of them already, and I'm tired of trying to establish wireless internet connections.

You need to get the USB to Ethernet adapter for the Wii if you want to have a wired connection.