Most of Bermondsey is local authority housing. I'm not doing the place down, it just happens to be characterised by large local authority estates. You can therefore find ex local authority housing pretty much anywhere in Bermondsey, although the area north of the tracks towwards the river has a much higher % of private.For the original question - I agree that Forest Hill may well be your best bet. Zone 3 so marginally higher transport costs but low rents. Go for the Dulwich side rather than the Catford side if you can though, for obvious reasons (i.e. west of the railway line).If you are renting rather than buying there's really no point in moving out to Kent. It's not going to get all that much cheaper. If you must, I would go for Beckenham or Chislehurst or somewhere rather than trail in all the way from, I don't know, Ashford or Rochester.Of the other areas in you list:Anerley and Penge are a bit sh1tNorwood covers a huge area (West? Upper? South?) makes no sense to think of it as a placeCrystal Palace (which is actually Upper Norwood) has many good aspects but is a bit further out than Forest Hill, Dulwich etcSydenham is a less interesting place to live than Crystal Palace or even Forest Hill but has some nice bits and is quite cheapBear in mind that from all these places it takes ages to get to Heathrow, or north/westbound train stations early in the morning (KX, Euston, Paddington). Places down the A20 are however good for City airport.