Day trip to Brighton with hiking

What’s the plan? Get to Brighton by train (leaving London around 10 am); Take a local bus (20 mins ride) to a nearby Woodingdean; Hike from Woodingdean to Rottingdean; Take a break in Rottingdean, chill on the beach; Grab a shared bike Beryl and cycle to Brighton on the coastline (they have amazing cycle path there); Finish the journey on the Brighton beach with Fish n Chips; Take a train back to London; It’s going to be awesome! Who’s in?