Nice route from Crystal Palace to Dulwich and onward connections on Cycleway 17.

The secret of the sphinx is.. that there's a cut-through above it which comes out at the Crystal Palace Parade / Sydenham Hill double roundabout. The terrain is a little uneven at the top of the park but it's all manageable.

The toll road runs downhill from here to the South Circular; the pavement along the S Circ is shared-use (cycling permitted) all the way to Dulwich Park.

The streets north of the park are quiet up to the JAGS/Alleyns corner, and the Green Dale path heads up from there towards Burgess Park & Camberwell.