Hi there!
I think that some people may relate to my issue, so I decided to post it there.
My issue is either that my HDD is failing or there is a weird contact at the HDD port, since it randomly crashes after I move my laptop, but almost never crashes when I leave it in a state where it doesn't move. I'll have someone come over to help the diagnosis, especially to test the HDD more thoroughly. (When it is recognized by my laptop, standard HDD test are passed successfully).
Anyway, I don't know if it is worth upgrading or changing the storage unit if it fails, or if I'll be better off changing it all.
I have a 2 and half year old HP laptop, and i5 (I'll have to recheck which one) and an AMD 7600M series (which are now unsupported for new Amd driver because they are changing their gpu architecture). I will hopefully end up with a 500€ budget this summer and I have already everything for a desktop computer except the monitor.