Soldato
It has to be the same version or newer. You can only get the latest from Sony so downloading from the above link you will be fine.
I have a 1TB and I'm just over 800GB full now. I have a 2TB for sale but Tbh I'm thinking of keeping it and swapping for the 1TB...
You must have a ton of games, my 1tb is only about a quarter full with about 5 or 6 games installed.