Hmmm … basically you could also just use a so called WiFi Repeater. You see, using a router does not guarantee that you can capture one WiFi and broadcast another. In fact, most of them only allow you to connect via cable to the ext world and then broadcast WiFi. Your WiFi router must at least be able to do so. So maybe you are better off using a simple Repeater. It is cheap, dumb and can also be buggy. Make shure the repeater has a very good connection before repeating!