Julie - if the transfer is not for value/a gift and from say joint names to just one, then the fee is payable under Scale 2 on half the current market value. £45 - the guidance includes several examples to follow
HM Land Registry: Registration Services fees - GOV.UK
If by 'name change' you mean the end result of the transfer then there's just the one application and fee
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.