@Dric35
You shouldn't have to do anything more than to log into the Google Nest app and the Google Home app on your new phone, using the same username and password you were previously using, and access the same Google Nest "home/structure" you were previously accessing.
If you also changed your phone number, you'll have to update that on your account. If you have 2-step verification set up, you need to have done this while you still have access to your old phone number.
https://support.google.com/googlenest/answer/9295081
https://support.google.com/accounts/answer/3463280
