NIT TRICHY is the best NIT in the country, with NIT WARANGAL ranking second. These two colleges cannot be compared to Anna University.
In every way, the two NITs outperform Anna University. Students' quality, infrastructure, teaching, labs, hostels, campus life, job placements, and festivals are all important factors. Please keep in mind that job placement is not everything. It cannot be the sole criterion for selecting a college. You should consider the teaching, library, and lab infrastructure, and, most importantly, the student intake.
If you're going to live in a hostel for four years, make sure the student peer groups are on your wavelength. You should consider staying in a hostel because it will enable you to gain life experience and mature as a person.