In general the difference between 3S battery, and 4S battery will largely depend on your motors, but for MT2213 I think you will get better flight times with 3S battery. Many posts on the internet seem to suggest 4S = longer flight automatically which is not always true.
For longer flight times as loise suggested, the bigger the propeller the more efficient it is, thats why most quadcopters with long endurance have very low KV motors driving large props. A slow spinning prop is much more efficient than a fast one.due to air turbulence.
So for your motors with 10inch props I would suggest that you go for the biggest 3S battery you can comfortably lift (you should be able to hover at less than 75% throttle, ideally 50%)
Also I just posted a video that talks about choosing the best motors/props/ESC for your quad.