I created three Apple IDs on my iPhone. I have signed out of all three IDs one by one. However now I am not able to create a new Apple ID on my iPhone.
- You cannot 'destroy' Apple IDs, they last forever.
- You only need one ID. You can change the associated email address if needed.
- The ID used to set up the phone or to download any software is the only one that can ever update or restore it.
- Giving someone else your ID & password details is a security nightmare & foolish in the extreme - open to abuse at any time in the future.
I suggest creating Apple ID via web page instead of iPhone. The sign in page: https://discussions.apple.com/login.jspa (click 'create one now' on the right).
P.S. If you should sign out all the apps associated with Apple ID, including iMessages, iTunes Store, App Store, etc...