"How Can I Extend the Range of My iPhone's Personal Hotspot with Airport?"
I recently had this question myself but couldn't find any answer that was reasonably non-geeky, even when it didn't deny the possibility outright -- so I had to invent one. The trick is to extend your hotspot as a separate, alternate wi-fi network, not try to connect it to your primary one! To do this, I used an old Airport Express I had lying around. Also, note I was using AirPort Utility on my Mac, not on my iPhone -- though you can probably do it with the iOS version, too. Of course, you'll need a data plan from your carrier. First, in your iPhone Settings, make sure Wi-Fi, Cellular, and Personal Hotspot are all turned on. Now follow the directions shown in Settings under Personal Hotspot to join the network with your Mac over wi-fi. (In your iPhone Settings, you can change the wi-fi password, if you like.) The easiest way to switch wi-fi networks on the Mac is on the menu bar, so make sure your Network Preferences are set to "Show Wi-Fi status" there. Also