Am I right in thinking that you live somewhere around Waterloo/Vauxhall? If so all of the schools you have mentioned should be a fairly easy journey by either bus or train.
Similarly Dulwich schools are reachable by the school bus, and as long as you can get to the District Line, Hammersmith Schools are a possibility. (St Pauls Girls School is actually a short walk from Olympia, which you can get to by train from Clapham Junction.)
So nothing very local but a huge range within 30-40 minutes.
First and foremost it depends on your daughter. If she would thrive in a very academic environment, then City might work. The Headmistress is very impressive and there is a real sense of purpose. But it is very urban. I personally liked Wimbledon and Emanuel seeing them as straightforward schools for rounded kids, offering sound education to a reasonably wide ability range, including some very able children. One is mixed, one is not, and both are slightly cheaper than the norm.
Francis Holland probably caters for a similar ability range but is more Sloaney. (It is in Sloane Sq!) We know some lovely girls who love it there, but probably not for a sporty tomboy.
I think Queens College might be considered equally Sloaney, but has a reputation for being less academic. If you are looking for something smaller and gentler, there are a number of other schools: Queensgate, More House, St James' which might also fit the bill.
One big factor for us was where the other kids lived. Most kids at CLGS will come from North London. We liked the fact that the majority of Emanuel students come from within a two mile radius of the school, most from Wandsworth's good state primaries. One thing we liked about Wimbledon was that we thought it would be a safe and nice place for a teenager to meet up with friends. If you choose Dulwich be prepared for trips to places like Sydenham to pick up your child, similarly Hammersmith Schools pick up lot of children living in Ealing, Kew and Richmond.
To be honest there is little substitute for flogging round the schools to get your own feel. The ones you name are very very different.