I wonder why this article did not suggest simply hiding the connection from public/private view.
almost all routers have this option in them. It will simply not broadcast an SSID. When you go to connect to the AP there is an option to input manually the connection settings like the password and SSID Name.
Having either WEP or WPA in this case would be all right but a WPA setting set to hidden is the best. Cant get much more secure than that when it comes to home WIFI.