This is a nice question! The internet has interesting sites where you can look at the moons and learn about them. The next is a good one where you can have fun and look at the pictures:

Neptune_moons

This site says that Neptune has eight moons. The main moons are Nereid, Proteus, and Triton, plus five smaller moons, Naiad, Thalassa, Despina, Galatea, and Larissa. Triton and Proteus orbit close to Neptune; Nereid is in a distant orbit.

Triton is an interesting moon because it is the only moon in our Solar System with a retrograde orbit (orbiting in the opposite direction than its primary, Neptune, is rotating). Triton is also the coldest measured object in our Solar System, and Nereid is the Solar System object with the most eccentric orbit.

The eight moons of Neptune in order of distance from Neptune are:
Naiad
Thalassa
Despina
Galatea
Larissa
Proteus
Triton
Nereid