As long as you're using the same account on both you will be able to transfer the saves. Unless they are copy protected. Then you'll have to use the cloud feature offered thru Plus.
Ok I'm trying this but it's not working. I'm using the same PSN account.
Does the disk game matter or not? I mean should I haves brought the game with me?
Maybe you should have. I didn't think it would matter since games aren't region locked but I guess it does.