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I used to do that journey from time to time when I was in Beckenham. I used to go through New Cross, Deptford, then Bermondsey/Surrey Quays, Tower Bridge (?) and I seem to remember it was a fairly straight line but I'm struggling to join the dots because it's been too long. I guess at the Beckenham end it was through Lower Sydenham then Forest Hill and Brockley or something. I think I only used to use the Crystal Palace, Herne Hill direction for the West End.
Seem to be unable to find anything via search but looking for some route advice. Currently doing Beckenham to the City via Palace>Herne Hill>E&C>Southwark etc. Moving every so slightly further East which will make braving Penge not really worth it, plus more bumps than I have energy for these days, being lazy and all.
Basically looking for a route from the bottom of Bromley Hill (A21) into the city. Can easily divert through Beckenham Place Park which I probably will do anyway.
Any suggestions - something simple preferably?