It's ALIVE!!!
With help from Aron (ad53ggz), we've managed to put the shock in.
Didn't have much of a ride yet but you can certainly feel the difference. It turned out that I wasn't too far from fitting the shock at the first attempt, just didn't have the most important tool for the job - a rubber mallet

Oh, and it turns out that you have to cut a bit of the tank hinge to fit the C1H model.