While I'm not from Bristol (or the UK), its wikipedia article gave me a few ideas:
First and foremost,
STONEHENGEWhite Council- as has been said, Eurocentric and (relatively) close to Edinburgh
*Warden of Bristol- seems very likely, unless your game is immediately post-DB.
*Chandler- could have a larger role in an UK setting. If you have specific time frame in mind for the game, keep in mind Chandler might be part of the newer Wardens (described by Dresden in TC as young).
White Court- GS Spoilers:
We know the Raiths have some UK presence, maybe Felicia depending on the time frame of your game
Fae- as has been said, fae should be plentiful (perhaps as ruthless business "people")
*Luftwaffe raids in WWII (maybe someone made a deal to save the city from total annihilation?)
Ley Lines- because they're fun, and probably symbolic to the area.
Old Deities- check our archaic deities from the greater UK- there are a lot of unique, creative ideas to be had
"Virtute et Industria"- city's motto (Virtue and Industry)- definitely some types of supernatural businesspeople (plentiful fae), perhaps an occult order of knights or peacekeepers or people-for-the-good-of-mankind (Justicars, Knights Templar, Illuminati, etc.)
Old History- the area had human activity 60k years ago, and the Romans were nearby as well.
Brycgstow was a trading centre with a mint, and even repelled Irish invasions. Jumping ahead,
*Part of the Triangular Trade
*Great Western Railway
*University of Bristol/U of the West of England