It looks to me like the Wii already has wifi support built in. So all you'd need is a wireless router. Pretty much any a/b/g/n router should work. At which point just remember a few of the basic security rules... WEP is worthless, WPA is better, WPA2 is better still if the Wii supports it. Make sure the wireless connection password isn't something easy to guess, and has at least some character like you might find above the numbers on your keyboard.
I have the Black Wii and Verizon DSL residential Wireless Service.
I would like to connect my console to Internet, actually I found a lot of alternatives (ebay, amazon, a lot of brands and stores, a lot pf prices too)
But I would like to know if there is some economic and fair wireless adapter that I can use.
Some recommendations and advice about this connection? Maybe there are some considerations?
I think I am not going to play on line but I would like to get into the channels
Thank you !!!

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