What should I prefer between BITS Hyderabad and the new IITs like Dharwad, Tirupati?

Branch should be your first preference, and not the college. 

If you are getting CS at BITS Hyderabad, then choose it over 3rd gen. IITs. This will be a safer bet for now. But BITS Hyderabad is an expensive option. 

For core branches and dual degrees, 3rd gen. IITs are a better choice than BITS Hyderabad. You can’t be sure of scoring high grades in college, so don’t leave your branch selection in the hands of destiny. That is why choosing IITs is better if you want to opt for a dual degree. 

I am a B.Tech CS student at IIT Dharwad, and frankly speaking, even CS from 3rd gen IITs is not a bad option. By the time you graduate from your college, it would’ve made considerable progress.