What is better, to go for BBA+MBA integrated course from Nirma University or to do a simple BBA from Symbiosis or NMIMS?

BBA from all of these institutes, Nirma University, Symbiosis, and NMIMS is good. It now depends on whether you are willing to go for an MBA immediately after your graduation or not.

If you want to do an MBA and not want to get into giving entrances again, then go for Nirma, it is a decent pick. If you feel you can study in the 2nd and 3rd year of your graduation for MBA entrance exams. Then go for BBA from NMIMS or Symbiosis.

One thing more to note is whether you can study 5 years at a stretch in the same place or not. BBA from any of the above 3 is a good option. It depends on the choice of pursuing an MBA.