Both IIT Madras Civil and BITS Hyderabad CSE are great subject options to pursue for students.
Both the options you have chosen here are equally good but IIT Madras is one of the 7 old IITs and is a well-reputed institute. If you are not looking to join a particular branch, my suggestion would be to go with IIT Madras. The placement statistics are great and overall, you will also get exposure to good faculty.
If you are looking to join Computer Science, you can think of going to BITS Hyderabad, but you should know that there is an increase in fees every year. This increase will be around 10-15%. The field of CSE will always ensure that you get a good placement package. But, for this, you need to ensure that you have good programming skills. It will get better over the years.
You should go ahead with IIT as this will provide good chances for you to get into core industries. If this is not your plan, you can think of pursuing Master’s in Management. The entrepreneurial culture is also quite l promoted at old IITs.