You can run clonezilla on your shell session, just apt install conezilla (or whatever variant you’re using) and it can do the trick. Dd will almost surely work too, but that leaves a ton of responsibility to you instead of making any sanity checks on the way. That makes dd very powerful tool and it has saved my ass a multiple times, but if you already have a working partitioning schema clonezilla has a ton of options to make your life a lot simpler and a likely a bit faster than dd.
I recommend Hetzner too. I’ve been a happy customer for a decade. Support, should you need it, works well and services are rock solid.