I have never been successful bridging but in theory it can be done.
What I do
I have an Ubiquiti NanoStation (loco M2 in my case I suggest the M) It is what I call a Wi-Fi modem.. that is it converts Wi-Fi to cable (Cat 5/6) IT feeds a home router Mine is currently a Belkin.. I am not all that pleased
Takes a while to get used to the hoops you need to jump to set it up but works great PLUS height is often might and it's at the top of a 25' flag pole
To set up
Go to router setup Static IP and set the static WAN ip of 192.168.1.something other than 20. say 1
Now go to 192.168.1.20 and do the router config. Where I am now I have to tick "Transparent mode" on the wireless page. other places I un-tick it.
Select the SSID (Access point) you wish to lock to, lock to change and apply (You may need to add a PSK) before you change. You can also use the TOOLS aim antenna to peak the signal (just like peaking a TV signal)
Now back to Router set up and "Dynamic"
Job done
Now your WAN IP will be something "else" liek 10.10.20.40 (I just made that up) but you can't access the Nano.
The Nano station has amazing range.
Home was where I park it. but alas the.
2005 Damon Intruder 377 Alas declared a total loss
after a semi "nicked" it. Still have the radios
Kenwood TS-2000, ICOM ID-5100, ID-51A+2, ID-880 REF030C most times