How to Discover Moons Outside of Our Solar System

The transit method is a clips method where a planet passes in front of a star and dips the light that comes from it. If those eclipses have their own little dips in them then you can discover moons around those planets. We don't have any confirmed exomoons yet though there are a couple of candidates from the Kepler telescope that look promising but people can't yet agree whether that actually is the discovery of a moon.