hi,

see there is no comparison between private and autonomous college, one thing is government colleges has less fees than private college. so the students who are unable to pay high fees opt for government colleges. now before selecting a college you must consider some facts like number of faculty, college infrastructure, activities, students reviews, placement record, collaborations and extra curricular activities of the college etc. so you just consult with your parents how much they can spend for your education. so considering the above facts you have to chose your institute to study.

hope you may understand.