Father died how can we transfer his property in mothers name

Sir, My father expired recently without executing a WILL and has 2 properties in Karnataka and 2 properties in Maharashtra, all 4 properties in different jurisdictions. We want to amicably mutate all three properties in my mother's name. Please guide us with the least expensive mode to mutate the same, since all four of us are based in different cities in India. We would like to execute one document with mutual consent which can help us transfer all the assets in my Mother's name. As I have apprehensions about validity of one relinquishment deed in different jurisdictions.