You can book either Uber or even Lyft from Google Maps (assuming they are available in your location). Once the ride starts, you can follow progress from either

You can book either Uber or even Lyft from Google Maps (assuming they are available in your location). Once the ride starts, you can follow progress from either Google Maps or the Uber app. You can still book and track the whole thing from the Uber app, of course. I prefer GM because it has all my bookmarks, it doesn't download the same map tiles again, etc. Until recently, it was quite annoying, because you were trapped in "Uber mode" during a ride. As of a few months ago, you can go back to the base map, start new searches, look up transit directions, etc. and later return to your ride's status.