Dear Aspirant, for Computer Science Engineering the best IIITs are as follows:

1. IIIT Hyderabad-The best for CSE
2. IIIT Allahabad
3. IIIT Delhi
4. IIIT Bangalore
5. IIIT Gwalior

For NITs these are the best for CSE branch:

1. NIT Tiruchirapalli
2. NIT  Warangal
3. NIT Calicut
4. NIT Allahabad
5. NIT Delhi

Since you want to go for Computer Science Engineering I would recommend you to go for IIIT Hyderabad but its your decision so do good research and then go for admission.

Here are links for all NITs and IIITs information which includes brochures,fee structure, placements, admission details,etc respectively :

https://engineering.careers360.com/colleges/list-of-top-nit-colleges-in-india

https://engineering.careers360.com/articles/list-of-indian-institutes-of-information-technology-iiits