If my father recently ask me to prepare the deed to his home to add myself to the deed, how do I do it?

You really should consult a lawyer about doing this.  There are possible consequences to transferring title when the property has a mortgage although they are rarely enforced.  Many states impose taxes when you transfer title on a deed and that is always enforced. Depending on why your father wants to add you to the deed, there may be ways to accomplish his goals without changing the deed.