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If you log into your My Account you can change all the information under the My Profile section.
You could change the username, personal information and if you had selected pre-authorized payment switch payment method to the other person's card. Then you would just give them the SIM card to use in their device.
I believe this would be the easiest way to give the account to someone else.
Public Mobile is a prepaid service. There are no credit checks. To transfer an account, all you really need to do is update the credit card info and change the profile information to reflect the new user.