Lifting the motherboard without breaking the camera module is the most critical step.
I used tweezers to loosen the camera module from the display assembly.
It worked best for me to lift the motherboard slightly (!), so I could see the base of the camera module, and then carefully separate the camera from the metal part that it is glued to.
Have a good lock at the pictures, so you know where the camera module ends and you don't end up breaking the camera module into pieces, instead of taking it off the base.
I had to push the camera module connector back in again, as it came loose slightly.
Everything worked out fine in the end.