Like any other person, I give more emphasis on average packages to judge a particular course or an Institute. Here, the average package of Metallurgy at IIT Madras is INR 15 LPA whereas that of ECE at IIT Hyderabad is INR 29 LPA. 

Now, many people may not find the average package justifiable criteria to judge a course. For them, I have listed some points about both institutes and they are free to make a decision based on what appeals to them the most.

IIIT Hyderabad 

• The average package of the course you want to take is higher
• The Institute is situated in the Technical hub of the country, Hyderabad 
• IIIT Hyderabad admissions are done solely based on merits and there are no reservations at all
• You will get a grasp of many CS related subjects and become proficient in coding and computer networks

IIT Madras

• It offers a rich campus life experience and creates thousands of good memories here
• It’s cultural fest is considered one of the best in the country and shouldn’t be missed
• The infrastructure is top notch with a massive campus loaded with a lot of amenities like cafés, playground, and swimming pool.
• Excellent exposure is provided through inter IIT Tech Meet wherein you get to interact with geniuses from different IITs.
• Opportunities for you to pursue a Ph.D. from top foreign universities 
• IITs conduct open placements and irrespective of your branch you can get placed in Consultancy, Finance, Software, etc.
• Another option is becoming a teacher in an IIT that guarantees a good stable pay 

All in all, IIT Madras offers a more laid back experience while IIIT Hyderabad strictly focuses on core studies.

In my opinion, you have made the right decision by dropping the PITS Pilani EEE branch for IIT Madras Metallurgy. My cousin was forced to take IIT Madras Metallurgy by his mother. Initially, he was disappointed but his mother advised him to continue with the same enthusiasm he cleared JEE. Many students after getting admission relax and this opens opportunities for those who continue to slog even after admission.

Your ultimate goal should be to change your branch for which you will have to work hard. This can be done by staying among the top 5% of the batch with around 9 CGPA. You can switch to Mechanical and even to Electrical sometimes with a good CGPA. All you have to do is

• Focus on your subjects
• Do well in the tutorials
• Perform well on quiz 
• Ace your practicals 
• Score high in the Final semester exam

IIT Madras has a plethora of subjects to choose from in addition to a dual degree. You can change your branch provided your academic performance is at par with the requirements in the 3rd year. Some other highlights that might convince you further to choose IIT Madras are

• Creative clubs like C5 help in harnessing skills in your area of interest. These clubs have made amazing innovations and you can always learn so much by being a part of them.
• The unique Research Park which is the IIT Madras incubation center 
• Extracurricular activities such as Yoga, 5-star Gym, long-distance running, etc.
• The Institute operates under the leadership of highly learned alumni and so are most of the Deans.
• Air-conditioned Central library that is stacked with resources

All these are unique to IIT Madras and thus it’s a better option than BITS Pilani.