YSK: Taking burst photos with your camera greatly improves the chances of capturing the best shot.

Using the iPhone as an example, hold the shutter button down when shooting photos of people or anything in motion. You should hold for as long as reasonable and get as many shots as time or storage permits. You see it quickly takes a lot of photos!

Afterwards, go to the Camera Roll and select the burst (it looks like a stack of images). You can then quickly analyze them by tapping "Select..." and then flipping through the images by scrolling left or right, selecting only the one or some you like, then dropping the rest and recovering storage space.