I use both. I carry two 1L aquafina bottles on my shoulder straps for drinking while moving (or inside the front of my jacket in winter). I carry a 2L Evernew (sometimes 2, depending on the situation) in case I need to 'water up' for the night's camp (when I'm not camping near water). I fill the Evernew at the last water stop, and use that water for dinner and breakfast, so I still have water after eating to start the morning's hike with.
In a pinch, I once used a large OPSAK to carry water when we were having a lot of trouble finding water on our route. Put like three liters in it, if I remember correctly. Put it in my outer mesh pocket on my Starlite. Carried it for a good part of the day with no problems.