Update (10.08.2014): Looks like it’s working correctly, and everything should now be running on the new host. Let me know if something isn’t quite working.
Hah! No stupid out-of-memory warnings when accessing the shopping cart 🙂
I’m not too happy with my current hosting solution, and I plan on moving the site somewhere else as soon as I get time. Without having done anything like this before I assume there will be a few days downtime etc. I’ll keep you updated.