What to do about broken WiFi on iPhone 4S after iOS 7 update?
Solution 1:
I say give Apple a shot. I've been successful in resolving similar upgrade issues by calling the support number or making a Genius Bar appointment.
Local repair shops are fine for fixing a hardware component (i.e. replacing a screen) but not much help for an iOS software problem. Also see ifixit.com for DIY hardware repairs. They are amazing.
Solution 2:
I tried everything including changing the name on my iPhone 5 to remove the apostrophe, soft reset, resetting network settings, resetting all settings, resetting my router, manually entering my router information, installing the bug fix update, and two hard resets (factory reset) in a row out of desperation. None of it worked, my iPhone will not connect to wifi so it is virtually useless as anything other than to make calls with. I am dropping it off in the mail to Apple. Hopefully they can fix this issue. In the meantime I am left feeling very burned by the iOS 7 update. Good luck!