Transfer of property after father's death without will

My father passed away last month without making a will for his properties or nomination for his bank account. I (Son), my mother and my married sister (All Hindu)are now legal heirs to his assets. The details of his assets are described below. 1) One house in Mumbai co-owned by our father and mother. 2) One shop in Mumbai co-owned by our father and mother. 3) One registered and stamp duty paid plot in Vrindavan (Uttar Pradesh) in our father’s name. 4) A savings account (Co-Operative Bank – Mumbai) 5) Long Term (Tax saving) and Short Term Fixed deposits in said savings account. Our family has mutually agreed for all the assets to be transferred to our mother and make her the sole owner. Fortunately we do not have any disputes amongst ourselves and are willing to co-operate in the process in every possible way. We’ve already made an application to respective housing societies in Mumbai for the share certificates to be transferred in the name of our mother. Kindly assist with solution.