Hello Ma'am. If you want to enjoy & study both then choose MIT Muzf.
If you want to only study then choose BCE Bhagalpur.
At MIT Muzaffarpur everyone local people know the student of Mit as Mitian & give respect.
But Bhagalpur is far distance (4–5km) to the city so here people give not any attention to Bce students and also Mitian students teach to locals and gain respect(also earn by part-time teaching) because Mit is in a city near where dense population lies.