cloud Id

Use the below as a guide of where to sign out of the device and then back in.

What to do after you change your Apple ID or password - Apple Support     

If you create/use a new Apple ID, you will lose access to some of your data and the purchases made with your existing Apple ID. You might want to explain what problems you are having with your current ID to see if someone can make suggestions that will fix your current ID problems.

Apple ID - create a new

Apple ID – Create

After signing out of the ID, if you still want to delete the ID,

How to delete your Apple ID account

Apple ID – How to Delete

Delete Apple ID (new)