Sydenham Hill is a south London station between the popular areas of Dulwich and Crystal Palace - in fact, it's close enough to Crystal Palace to have been called Sydenham Hill (for Crystal Palace) in the days of the famous exhibition hall. Commuter traffic dominates here, with services on the Chatham Main Line taking locals to London Victoria in about 15 minutes. Southbound trains terminate at Orpington in Kent, taking about 20 minutes.
While it isn't as well known as its neighbours, Sydenham itself is a popular area, close to some of southeast London's best green spaces. Centuries ago it was a semi-rural spa - the name of Sydenham Wells Park, an imaginatively landscaped and planted park about ten minutes' walk east of the station, refers to the springs for which the area was famous. It's a short walk from there to the larger Crystal Palace Park, and Sydenham high street is another ten minutes away to the east.