Get the train to Rose Hill station in Marple. Make sure it’s Rose Hill not Marple – trains don’t run to Rose Hill on Sunday so it’ll have to be a Saturday, but Marple station is halfway up Brabyn’s brow whereas Rose Hill is at the end of the Middlewood way. You don’t want to start by riding up a great big hill if you don’t have to
The quite simply cycle out along the Middlewood way, and come back along the canal.
There are quite a few places where you can swap from one to the other, usually close to a pub or cafe – The Boar’s head pub at the old station in Higher Poynton (also a small café place on the canal there), The Miners arms at Poynton Marina (or the Lyme Breeze café, not sure on opening times), as far as Adlington if you’re feeling good (drop to the Windmill on Holehouse Lane then back up to the canal) or even all the way Bollington (loads of pubs, there’s a café in Clarence Mill alongside the canal)
Stop for a hot chocolate when you get back to the Ring o’Bells in Marple, then cruise back downhill to either station for the train back to That Manchester