Both NIT Bhopal and PEC Chandigarh are very good for CSE and provide many facilities to its students. Out of both of them, I would recommend you to choose NIT Bhopal over PEC Chandigarh due to the following reasons.

• Placements are much better at NIT Bhopal. The average package being offered is around 12.51 LPA which is comparatively better than the packages offered to PEC Chandigarh students. 
• CSE department witnessed 100% placement offers at NIT Bhopal.
• While studying at an NIT, you get the 'NITian' tag which is very valuable and a matter of pride for every student out there. 
• As a city, Bhopal is more beautiful than Chandigarh.
• You can enjoy your 4 years of B.Tech at NIT Bhopal while pursuing your graduation. As there is not much load of studies and assignments on students. 

Hence, NIT Bhopal is a better institute than PEC Chandigarh and provides all the facilities and the proper environment to students without much load of studies. So, it is better to choose NIT Bhopal over PEC Chandigarh.

NIT Bhopal also called MANIT (Maulana Azad National Institute of Technology) is approved by MHRD and AICTE. It is ranked 65 for BTech and 101 overall by NIRF 2020. BTech in Electrical Engineering is offered as a 4 year full time course.

IIEST is considered to be one of the top engineering colleges in India. It is ranked 43 overall and 21 for BTech by NIRF 2020. The Mechanical Engineering dual degree is a 10 semester course with 3 specializations: Machine Design, Thermal Engineering and Manufacturing Science.

Tabulated below is a brief overview of both institutions: 

Admission Details

• Students must have passed 10+2 exams with 75% marks conducted by a recognized Central or State Board.
• Selection will be based on the JEE Main ranks.
• Application fee at IIEST, Shibpur is INR 1500.
• The application fee of NIT Bhopal is INR 650.

Placements

Tabulated below gives a brief insight into the placement of both institutes:

NIT Bhopal 

• The median salary package offered was 6.5 LPA.

• Therecruiting companies include Accenture, TCS, Wipro, L&T Infotech, HCL, Microsoft, Saint Gobain, Adobe, etc.

IIEST Shibpur

• Out of 603 eligible students 146 were placed.
• 90 companies participated in the placement program.
• Therecruiting companies include TATA, ITC, GE Digital, Reliance, PWC, IBM, Mu Sigma, etc.

Facilities 

NIT Bhopal

• They have 9 boys hostel and 2 girls hostel.
• Facilities like a Library, Extracurricular Space for Sports, Swimming Pool, Basketball and Badminton Courts, Gym, Meditation Hall and other facilities like an auditorium, cafe, children’s park, post office, computer centre and Rolta Incubation Centre.

IIEST Shibpur

• They have a faculty of over 250 members.
• They have a total of 18 hostels 3 of them being girls hostels.
• They also have sports facilities, computer labs, hospitals, mess and canteens.

Both the colleges are reputed and are considered the top Engineering colleges in India. A BTech degree is of 4 years, if you want to opt for a dual degree you will receive an MTech degree too all in the span of 5 years. The choice depends on you and your preferences, both are equally important and respected institutions for Engineering.

All the mentioned NITs are among the top engineering institutes in the country. Out of all the NITs in India, the best choice is NIT Rourkela. As some of my friends studied there I might be able to give you some reasons. These are:

• NIT Rourkela is famous for its Chemical Branch. 
• The research culture of the institute is outstanding.
• The institute has been ranked 16th in the NIRF Ranking for Engineering 2020. It is way above all the three institutes mentioned.
• The JEE Main cut-offs are high. So, only the best students get a chance for admission. 
• The college also encourages diversity.

The fee and chemical branch placement details are as follows.

The top recruiters include L&T, Reliance, Tata, P&G, Parle, ACC Cement, Aditya Birla, IOCL, PGCIL, NTPC, GMR Energy, GlaxoSmithKline, and more.

Overall, NIT Rourkela is an excellent choice. After CSE and EC branches, the Chemical branch recorded the highest placements. The return on investment of college is decent. But you should opt for it only if you can deal with and function under strict regulations and laws.

A 4-year CSE from IIITDM Jabalpur will be better than that of IIIT Gwalior. It is a fairly new branch at the institute and students of this branch compete with 5-year IPG steam students which are the main ruler of the institute. 

A brief comparison of the courses mentioned in the question is given below. 

If you only consider placement, Electrical at MANIT Bhopal is not comparable to CSE at IIITs. So, it will be better if you choose a 4-year CSE of IIITDM or a 5-year IPG at IIIT Gwalior.

IIIT Allahabad is better than MNIT Allahabad if you are interested in coding. Although NITs and IIIT Allahabad both are centrally funded technical institutes. The only difference is the course curriculum as IIIT Allahabad focuses only on IT and ECE. Due to this, minor subjects like Chemistry, Applied Mechanics, Engineering Drawing are dropped in 1st and 2nd semester itself. 

NITs have a long legacy making it more reputable with strong alumni across all domains. On the other hand, IIITA is a young institution and follows innovative academic policies. Its alumni members are even present in Silicon Valley in a short span of time.

You can decide your own priorities in the career. If you are interested in coding culture and look forward to great internships and placements with a small cozy campus, you should prefer IIIT Allahabad. You should opt for MNIT Allahabad if you are interested in meeting new people with diverse backgrounds. It will help you in enhancing your personality. 

If you ask me, my vote goes for IIIT Allahabad on all these below parameters.

• College Life: IIIT Allahabad is an institute of national importance, and boasts one of the best campuses in the country. Whereas, MNNIT is not even on the edge.
• Placements: 96% of the students got placed and received job offers from more than 120 companies. All major Computer Science companies like Google, Facebook, Amazon, and Adobe come to IIIT Allahabad's campus and make offers.

The following table shows the placement statistics of IIIT Allahabad:

IIIT Allahabad has placements in Google Mountain View/ Europe/ Australia/Japan from almost every Batch from the past 4-5 years. IIIT Allahabad was preferred by these companies because a lot of alumni already worked in these companies and better industry perception has been built up.

The strength in NIT-A is approximately twice as compared to IIIT-A. And every year this strength keeps increasing. As you know that the quality decreases with the increase in strength, I would again suggest you choose IIIT-A.