Even if you have your own car, there are now air pollution emergency measures in place which prevent cars (even new ones) to be used all days of the week.
Public transport is crap. There is metro and metrobus, but coverage is really small. There are also small vans moving around the city but those are not safe to use. Also be ready to sweat like a pig in any of those options. Forget about using public transport when going to a business or work meeting.
80% of Taxis are 10+ years old Nissan Tsuru which are uncomfortable and more often than not you are not sure if you can trust the taximeter. Also many of these taxi drivers do not want to use apps like google maps or waze so you end up taking longer. They know better than Google.
With Uber you can ask for a driver wherever you are and you know it will be safe, get a minimum comfort, you won't be overcharged, and you won't even need to exchange money with the driver.