In my opinion, NIT Warangal is better than BITS Hyderabad. It is a top NIT and branches like CSE, Electrical and ECE at it are comparable to the top IITs. I would in fact say that all the branches at NIT Warangal are good. In terms of facilities and infrastructure, both the colleges are comparable. However, you will get much more exposure at NITW.
NITW conducts seminars and workshops by IIT professors and other eminent professors from foreign universities. It has a better collection of books- both quantity-wise and quality-wise. In private colleges one can keep 2-4 books at a time, but in government colleges, there is no such limitation on book allotment. For placements too, NITW is better. It has a greater alumni network and better industry connect because it is much older than BITS Hyderabad.
The best option is to take up CSE at NIT Warangal for great career opportunities. But at the end of the day, your efforts will determine your future. Your college tag is important but what will matter more is how much effort you are ready to put in on your skill development.