I believe CSE Thiagarajar College of Engineering under the eminent Anna University is knots ahead of Private Institutes like VIT Chennai and SRM. You will have access to better Faculty and Research Facilties.

From Dr APJ Abdul Kalam to Dr K Sivan of ISRO, Anna University alumini are known all over the world and hence an excellent employer outlook. Anna University has produced brilliant Researchers, Academicians and Engineering Professionals in all these year, and its the experience of Professors in curriculum which play an important role in your development as an Engineer. As far as Placement is concerned, being located near IT Hubs at Chennai, Thiagarajar too has excellent Placements in CSE with TCS, Infosys, Amazon, GE, Accenture, Microsoft and L&T being few of the top recruiters. Secondly the peer culture at Institutes if Anna University is excellent and many move on to pursue Masters at top Institutes like IISc Bangalore and IIT Madras, post Bachelors. All the Best.