> failure, I need to move the system to a new HDD. This new drive is
> bigger than the current one, so I can't just 'dd' from old one to the
> new (and I'm not even sure if this could work - because of UUIDs
> different for new disk?).
You can dd just fine.
The result will be a disk where some part is currently unused, so you'll
need to extend some of the partition (or add another), but that can be
done very easily.
Stefan