I ended up emailing the manufacturer for an answer - am glad I did as I might have broken the laptop in frustration otherwise!
You have to take the back cover off - take off the back 2 pads, and the warranty sticker (typical) - then undo 12 screws on the back. This will give access to the screen hinges, which need to be undone (a further 6 screws), to lift the screen away from the laptop, which then allows the front bezel to lift away.
The original screen was taped to the bezel, to add a further complication! Plus the ribbon cable needs to be disconnected in two places.
It was a fiddly repair - far more than I'd expected, with two cables connecting the base to the monitor casing, and a lot of small screws - however, once I'd figured it all out, swapping in the new screen wasn't that hard, and putting it back together went fairly smoothly (note - when screwing the hinges back on, make sure you use the lower level holes - the two raised ones are to screw the back on again).
I've got 2 more to do, so now that I've done one I should be set for these going more smoothly!