Procedure to transfer property owned by parents in son's name

Hello Sir, We were a family of four people consist of My father ,Mother ,elder Brother and Myself.My father got expired in 2012 leaving my mother ,me and elder brother to survive. we have one flat in Pune where the main owner is my mother(Alive) and co owner was my father(deceased). Now my mother wants that flat to get transferred on my name. Here comes my question : 1) what are the ways and process to get this flat on my name 2)which is the cheapest and safest way to get the flat transferred on my name 3) We are now settled in U.P.Can we get this done from here(U.P)?