L.S.
You need to get the stick kind made specifically for faces. Regular sun screen lotion will run into their eyes if they sweat or get hot or go in the water. It's kind of a pain to have 2 different sun screens, but well worth it. We all now use the baby sun block and face stick so don't feel you have to buy yourself a separate sun screen either. You'll also want to avoid putting too much of the sun screen on their hands too in case they rub their eyes.
Good Luck!