Moving notes and lists (in reminders) from iphone 7 to iphone 12
The easy way to sync data like this is via iCloud (or another web service of your choice).
The Apple methods to move data don’t merge backups, it’s all or nothing so since you already have data on the new phone, you want to sync and not migrate.

https://support.apple.com/guide/icloud/set-up-icloud-mail-on-your-devices-mmdd8d1d47/icloud

You can turn on each category you want to sync. I recommend starting with the old device first, then the new second.