Hi Stefan ,
How are you ?
First, I will be taking a full backup of your website and its database from existing Godaddy server, And I can send it to you via GoogleDrive or WeTransfer , that depends on your choice. And once you will give me the credentials of your new Godaddy Hosting Account , I will upload the website and database there.
Although , I have 2 queries:
1) Do you want to transfer the domain as well?
2) Website is built on ?
Kindly connect with me on chat so that we can discuss further.
Thanks,
Heena D.