We can change the parent for B2B Contacts but not for B2C Contacts. It would be useful to have this feature. For example when a sole trader becomes a limited company and a new record is created for a Company/Division it would be simple to move the sole trader to be a contact in the new division.
This sounds like a very good little enhancement we will look at for a future version.
In the b2c contact record, a new menu option allows you to convert this to a b2b record. Also options to convert from B2B to B2C