Most moons in the Solar System - at least those close to their primaries - are tidally locked to the primaries, so the revolve and rotate at the same rate, always keeping the same side toward the primary, always having the same leading side and trailing side. That doesn't depend on the bulge in the primary, although Earth's bulge under the moon will eventually cause Earth's rotation to slow down until it is also tidally locked to the moon, and they face each other as they dance, just like Pluto and Charon.
The Earth's gravity pulls a little harder on parts of the Moon that are closer. The difference in these forces acts to pull the moon apart. That's called the tidal force. If the Moon has enough tensile strength to resist being pulled apart, then a torque (twisting force) is exerted on the Moon. This torque tends to turn the Moon toward the orientation in which the long axis of the mass distribution is toward the Earth. If the Moon was spherically homogeneous, that wouldn't have any effect, and there would be no tidal locking.
So the Moon slowly rocks back and forth about this equilibrium orientation. Over millions of years, the internal friction caused by the torque will slow the rocking and the Moon settles into a tidal lock, also called a 1:1 spin-orbit resonance. It can get more complicated: Mercury, for example, has a 3:2 spin-orbit resonance, which means it rotates 3 times for every 2 times around the Sun.
Tidal locking is also important for attitude control of spacecraft. I've heard that they like to fly the Shuttles nose-down for this reason. If no control is applied, the shuttle will slowly rock back and forth about this orientation.
The tidal lock of the Moon's rotation is prevented from being too perfect by disturbances from the Sun's gravity. The Moon actually wobbles back and forth in longitude by about 4 degrees each way. So there is not a sharp boundary between near side and far side. At the Lunar equator, 8 degrees is about 243 km.
PL