Property transfer after death

Hi, My mother expired in 2016.She has one plot of land in patancheru Telangana.The market value is 50L.There is no will so as per Hindu succession act the property will get equally shared by me i.e son and father. I stay in Mumbai so I have few questions. 1.What happens if I don't change my mother's name on plot of land indefinitely i.e  continue to keep it like that ..is there any period of limitation rule within which I have to transfer the title to my name ..(9 years approx has elapsed now.) 2.for immovable property transfer legal heir certificate is required..so can I get legal heir certificate in Mumbai and file it with registrar Sangareddy Telangana office..will they accept it .. because someone said me that legal heir certificate is valid throughout India. 3.(a)for legal heir certificate in purpose section should I mention complete property transfer details with market value as well or only " property transfer wordings "are sufficient ..(b)is it safe to give copy of sale deed for submission for obtaining legal heir certificate.. 4.For legal heir certificate what charges will be there This is the first time I am doing this..pls help Thanks ..