I did Glossop to Sheffield for 6 months in the car and it broke me. Get the train and a folder, that’s what I’d do. From Eccy Road you’ll be at the station in, ooh, about 7 minutes? 15 back up the hill? Don’t go from Dore though that’s miles away! And you wouldn’t get on an express train.
Alternatively get an old bmx for the Sheffield end and the rattiest of rat bikes for the Manc end and leave them at the station/home/workplace