[Koha] Upgrade from Koha 3.08.07

I'm running an extremely antique version of Koha 3.08.07 on Debian Squeeze. For various reasons (mainly the fact that the system is enormously stable) nothing has been upgraded for a long while but it's getting to the point where I need to upgrade it. I'm planning at the same time to move Koha off onto a new system running the latest Ubuntu LTS. I'm happy with installing a brand-new Koha but how do I go about transferring the data. I've found instructions for shifting the database but will the database schema upgrade work with that huge a jump? It's not a huge library, just a couple of thousand books. Thanks for any help that anyone can offer. Nigel