Thanks for the tips Peppermint Pig, I went to try and put them to use immediately!
I made a small "box"-like thing out of regular white paper that I put over the flash (it just got mildly warm, nowhere near hot enough to start a fire

), I used a tripod and I also put the MOC on a big sheet of white paper to give it an evenly coloured background.
I also did a tiny bit of post-processing in photoshop to make the only shadow on the paper the MOCs drop-shadow (because the paper was bent up to also be behind the MOC and not just under it, it had a shadowy band over it).
I'm quite happy about how it turned out, photography-wise. It's better than the pictures I've taken so far. If you have any more useful tips like above, keep 'em coming!
Here's the picture by the way, if you would like to take a look and give me some feedback, maybe I can get the colours better in my next attempt, but for now I am very happy about it.