Hi Carolyn Anne - there's little advice of the type I suspect you are after to be obtained here as we deal with the outcome of those considerations rather than the choices/options involved etc
How to
transfer ownership links you to the forms and guidance re how to update the register
But you really want wider advice as to the impact of such a change and how it may affect, or not, the care bills and more. As such I would recommend trying online forums such as Money Saving Expert where such matters are often aired and others post from personal experience and more