Paul - the legal ownership would be transferred by way of a form TR1, yes. If all owned by the same people/company then one Transfer could be used
The fee is based on the consideration paid
Registering land or property with HM Land Registry: Change the registered owner name - GOV.UK
Land registration is complex, designed to protect legal and financial interests in property. There can be significant consequences for any error. Please consider seeking legal representation. Before making an application without legal representation, it is important to
consider the benefits of using a conveyancer.