The decision to select a university to study is quite important and tough as well. And I would usually like to avoid the issues of university comparison. But since the question is asked with rectitude and I will write with absolute sincerity as it can influence future of a student. It is a vital step in the career path of a student to choose the right university. To better their chances of having a decent career, many students get a degree.
It must be noted that not all universities are good for all the programmes, you have not mentioned the programme you want to take admission in, and so the answer should go to universities in general.
I think studying in a private university provides so many opportunities to a student. They are more diligent and offer priority to the management of time. Private university students have a range of opportunities to study abroad and opportunities to be interested in campus organizations. They have exchange programmes for students, internships in foreign countries, etc.