What notes app are you using? Ideally, it would have an export/import feature and you would use the same app on the new device.
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you really gonna ask this and not list what apps you use to store your notes on?
Google keep syncs to you Google account and requires no manual exporting or transferring. You could also achieve something similar with OneNote. So maybe consider using a different note app?
When all else fails, email yourself.... :/
Without knowing which notes app you are using it may be difficult to help you.
I hate that most notes apps save your files somewhere you can't easily access, fortunately I found Markor which has the feature to let me chose where to save my notes.
https://www.f-droid.org/packages/net.gsantner.markor/
As I said, without knowing which app you are using is not easy to give you a valid advice, all I can think right know is using the clipboard to copy/paste the notes content to an app like markor, Notes or Collaboration Office and save the file on an SD card.
I'm using NextCloud and sync notes with it. It's most better for privacy than other company. So NC and Joplin and Quillpad. Privacy is most important, do not use app from big brothers. Cheers
The easiest is to use a Notes app with a sync feature in the first place. If your app(s) do not support that, I guess you will need to copy/ paste it into a new Notes app which does support syncing. 'Joplin' and 'Standard Notes' are two very nice (and are even open source) Notes apps which do that perfectly IMHO.
Use Joplin. Get a free Dropbox account and sync with that. Then Joplin will sync between all of your Devices and Desktop.
I was using Google notes, but exported all of my notes out of there when I started caring about not letting Google know every single thing about me.