I can give you information about KJ Somaiya and DJ Sanghvi since I have friends from these institutes. 

• If you are inclined towards an autonomous university, then KJ Somaiya would be a better choice. Apart from that, you can choose either institute based on how close it is to your location.
• Both the institutes share almost the same placement records. Here is a brief highlight of the same. 

• DJ Sanghvi has a 50% Gujarati minority, exactly like KJ Somaiya, which means students of the same location have pretty high chances of being shortlisted. 
• The cut-off, however, is relevant in both institutes. You need to obtain scores above average in order to get shortlisted. 
• The campus life at KJ Somaiya is one of the best you will encounter, unlike many others.

DJ Sanghvi and KJ Somaiya offer similar opportunities to the students. However, KJ Somiya offers a better campus life and more academic freedom.