Response from Daz:
After a discussion with Claudia - it seems there was a little misunderstanding about the travel options from Peckham Rye. All information is on the TFL website and at the station, but essentially we have overground and rail services allowing quick access to London Bridge (10 mins), Victoria (15 mins), Blackfriars (15 mins), Clapham Junction (15 mins), Shoreditch (20 mins). Obtaining a travel card allows access to all modes of transport for a flat daily fee. Using the bus can keep costs down, but is understandably slower - for example the 12 to Oxford Street takes 50-60 mins, rather than 25-30 mins via the train. We have added a new image to our listing to hopefully explain travel - it can be complicated in London!