Question

what is local government and how its move in ruler level

Answer 1

 local government in India takes place in two very distinct forms. Urban localities, covered in the 74th amendment to the Constitution,[1] have Nagar Palika but derive their powers from the individual state governments, while the powers of rural localities have been formalized under the panchayati raj system, under the 73rd amendment to the Constitution.[2] For the history of traditional local government in India and South Asia, see panchayati raj.
Rural Local Governments (or Panchayat Raj Institutions) [1]

Zilla PanchayatMandal, Or Taluka Panchayats,Gram Panchayats are rural
government