IIIT Hyderabad is better than BITS Hyderabad. It offers a better curriculum, placements, peer groups, and unmatched coding culture. It is one of the best institutes in the country for software and electronics. If you are truly invested in coding and want a career in the software industry, IIIT Hyderabad is the ideal place for you. 

It has a great placement record as well. IIIT Hyderabad placements 2021 concluded with the highest CTC of INR 56 LPA. The placement average of the institute is around 100%. 

However, BITS Hyderabad offers better extra-curricular and campus experience. 

I am currently studying at BITS Hyderabad, and a friend of mine completed his studies from BITS Goa recently. So I can give you a clear picture of the cultural differences between the two campuses-

1. Crowd- Around 10-20% of the BITS Hyderabad crowd consists of local Hyderabad people. So, many hostelites travel back to their homes during the weekend. This has a negative effect on the extracurricular front. But otherwise, the peers and even seniors are really helpful and interactive. As for BITS Goa, it has a more diverse crowd, and its fests and events are more fun.
2. Connectivity- The Hyderabad campus is much like the Pilani one in this respect because the main city is 1 to 2 hours away. The Goa campus is located in the main city, and Goa being a small state, you can easily access the airport and other facilities from the college.
3. Administration- The BITS Goa administration is much more strict, and students are regularly checked for alcohol, etc. On the other hand, the BITS Hyderabad administration is much more relaxed in comparison.
4. Campus- The Hyderabad campus is bigger and has more students ( the Goa campus does not have Civil and Pharmacy departments). The hostel rooms at Hyderabad are slightly more spacious, and the campus library is impressively well-built. The campus contains a rock garden, which is really beautiful. So in terms of campus and infrastructure, Hyderabad is a winner.
5. Dual Degree- In a dual degree program, if your scores are extremely low, you might end up in Civil or Pharmacy at BITS Hyderabad, and Chemical at BITS Goa.

This is all the important information about the cultural differences between the two campuses. You can choose either of them for your studies based on what suits your personal preferences. 

It is difficult to give an appropriate solution if you are not opting for a specific branch. All the colleges you have mentioned are well-reputed institutes in India that offer quality education and placement support to their students. The comparison can only be made based on the branches. Some institutes, like IITs, are good at CSE, while others have efficient departments in mechanical or Electrical Engineering. The ranking and placement vary every year.

If you get a chance to pick BITS Goa in mechanical engineering and BITS Pilani in Civil Engineering, then opt for Mechanical engineering, which opens up more opportunities and placement support than civil engineering.

I will suggest you consider your own interests first rather than the placement scenario. For this, you can go through the course structure of both branches. If you still are unable to determine the right choice for yourself, go through the following pros and cons of both institutes

IIIT Delhi 

Pros:

1. IIIT Delhi has a more Research-oriented curriculum and has an interdisciplinary approach to the curriculum.
2. The packages offered are at par with most tier-1 colleges like DTU, NSUT, decent NITs, etc.
3. The lab facilities are modern and top-notch

Cons

1. IIIT Delhi has a very small campus.
2. The college is relatively new so the alumni network is very weak.

BITS Pilani

Pros:

1. Excellent noncore placements especially management/finance.
2. The curriculum is very flexible and students of all branches get to choose minors in Data Science, Finance, Robotics, etc. 
3. The college has a huge brand name and alumni pool which adds credibility in promotions and pay grades.
4. The college has the PS system, which gives every student 8 months (6+2) of internship in top companies solely based on your preference and CGPA. 
5. The institute has a very charming campus life

Cons:

1. No compulsory attendance policy which might affect those who aren’t very self-motivated.
2. A lot of participation in festivals and cultural events is required which although good, might affect your academics negatively. 

Ultimately, choose what signs with your preferences.

This answer can be answered in 2 aspects; branch wise and Institute wise.

Branch-wise, ECE is way ahead of Manufacturing Science and Engineering and has a wider scope after graduation. ECE students are hired by both electronics and software companies. Moreover, ECE is a major stream whereas Manufacturing is just a sub-stream under Mechanical Engineering.

Specifically talking about colleges only, I would suggest you choose IIT KGP which has a stronger brand name and legacy than BITS Pilani Hyderabad. Its reputation is not just limited to India and has great scope outside India as well. It gets better and more companies than BITS during campus placements.

One major point of difference is the location of both institutes. Hyderabad has a much superior location than IIT Kharagpur thus offering better college life and exposure. IIT KGP is remotely located and lacks the necessary industry touch and exposure.

You have to travel long distances just to eat or do shopping. You will miss out on city life and the opportunities it has to offer. While the campus is great, you have to stay inside as the world outside is desolate. Spending 4 years without much exposure might limit your opportunities.

Hyderabad on the other hand has everything city life has to offer apart from being a major IT hub. This makes it possible to apply for campus jobs as well which is not possible in the case of IIT KGP.

In the end, it’s you who has to make a decision. Go where your heart is inclined the most be it ECE or Manufacturing at IIT or BITS. Just make sure to make a decision that will not make you regret it later.

Let’s do a comprehensive comparison of IIT Hyderabad, IIIT Hyderabad, and NIT Warangal (as my knowledge is limited to these 3 only)

IIT Hyderabad

• It has a great learning environment and students are very focused on academics and research. The fractal system is a cherry on top.
• The faculty is dedicated and very young, some of them aged less than 40. 
• The system of fractal academics imparts a diverse learning experience as students are allowed to choose a course of their choice taught by their favorite professor. You can take courses in liberal arts like painting, learning foreign languages, pottery, etc. 
• The course structure is flexible and one can do a minor or even a second major in other departments.
• Being close to the metropolitan city, Hyderabad, IIT Hyderabad attracts the best recruiters and faculty. 

NIT Warangal

• It’s one of the first RECs established and is a highly esteemed institute with experienced faculty and notable alumni.
• Many professors lack a systematic course plan and are unable to complete the course in time. Some of them aren’t approachable and students are unable to get their queries solved. 
• A lot of on-campus politics goes on at NIT Warangal.
• You get the opportunity to join NCC as well. There is a big outdoor stadium, gym and facilities for sports. 
• The student body committee is very powerful and you can even protest openly against the director.

IIIT Hyderabad: It’s considered a good option for computer science students.

BITS Hyderabad: It is also a decent institute with students enjoying good opportunities and freedom.

CBIT: It is one of the best private institutes in AP and Telangana. However, it cannot be compared to NIT Warangal or others, as the exposure and opportunities of NIT are way better.

In my opinion, the ultimate preference order should be,

IIT Hyderabad> IIIT H>=BITs H>= NIT W>CBIT