Normally companies use Fusion 360 under a subscription license but you have never said what type of license you were using. Were you the only user at your company? If you were and your created an Autodesk ID for that use and the company will allow your to keep it, I would not change it. If not, then you will be required to change it. Normally when someone creates a Personal Autodesk ID, they never change it. You use it for all Autodesk application that you use in YOUR name and licensing.
If you have received a notice from Autodesk that you are receiving a Basic license that is one of four types shown below. The first in the list is also called a Paid Subscription license.

A Basic license is the second one in the list often called a Personal License and is free to all that follow the "non-commercial" use restrictions. If you want to read more about the capabilities of Fusion 360 under this license please select this link.
Last, if you can keep your Autodesk ID, I would which will preserve your access to your files, although it will be limited due to the Personal License type. If you want to create a new Autodesk ID, that is OK but you will loose all access to your files but you anticipated that anyway and you will be entitled to use Fusion 360 free with a personal license.
John Hackney, Retired
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