Can we change the ownership of our property by mutation

We have a 3 story kothi in delhi which is in my father's name who passed away 40 years ago. We are 2 sisters and my mother is still there. The ground floor was built by him and is in his name. The 1st and 2nd floor is in my mother's name (basically the electricity bill etc). The property was never mutated. Now my mother wants to get mutation done and give 1 floor to me, 1 to my sister and the 2nd floor with roof rights in my mother's name. Will mutation help us divide the property like this OR all 3 of us will become co-owner of the full property. My mother also wants to sign a will make both me and my sisters co-owner of 2nd floor and roof. Please suggest what is the best way forward.