I use my wireless router with my main computer with which it is wired. This is the fast connection that he would want.
For all other gadgets - iphone, kindle, laptop - I use the wireless connection. This is the one you would need.
Health perspective --- I used to turn the router off. But then I did research on the net and it appears there is no conclusive evidence that wireless causes health problems. Not to say it couldn't ... just saying that there is no evidence. Also the other thing is everywhere there is radiation all around, so I don't know how much beneficial it is turning it off. But your call.
Hope this helps.