Cheryl - not totally correct I'm afraid. Any transfer would be of the whole legal ownership from yourself to your joint names -
Registering land or property with HM Land Registry: Change the registered owner name - GOV.UK
No TP1 and do check with your lender first as they may insist that you use a conveyancer when giving their consent
ID1/conveyancer or ID3/others as listed in PG 67 can be used to verify each of your identities. One form/verification each -
Evidence of identity (PG67) - 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.