You can turn your personal account into an organization by going to Account Settings > Organizations, clicking "Turn into an organization", and following the instructions in the pop up dialog.
The history of the account and the repositories will be preserved.
I'll explain each point of the warning you'll get:
You will no longer be able to log into YOURACCOUNT (all administrative privileges will be bestowed upon the organization owners you choose)
This just means that you need to choose a new personal account(s) to add as the owner(s) of your new organization. You need to do that anyway, because you can't log in as an organization. You need to create at least one new personal account for you.
Any user-specific information (SSH keys, Job Profile, etc) will be erased
The facts that YOURACCOUNT will no longer be a personal account and that organizations can't login, means that your old SSH keys and user related information can't be transferred along. That's true only for YOUR ACCOUNT, not any of your collaborators. You'll have to deal with configuring your new personal account anyway.
Any commits credited to YOURACCOUNT will no longer be linked to this GitHub account.
This doesn't mean you are losing any commits. It just means that any commit made with your YOURACCOUNT personal account will no longer be linked to this account.
If you are using YOURACCOUNT as a personal account, you should create a new personal account before transforming YOURACCOUNT into an organization.
This asks you to create your new personal account before converting your old one to an organization, because the new organization needs at least one owner and that owner should be you for starters.
Thank you for the example! Was it a GitHub model 10 years ago or the logic of some of your other projects?
It was useful to read this text.