Three deaths in all (probably more if you are on a PvP server); not too bad, considering. The family skill for moths is Serenity Dust. I was initially worried about putting it on auto-cast, but it looks like the pet AI is smart enough to not use it until the moth is down by enough health that the HoT is actually useful. With Dust once a minute, I may never cast Mend Pet again in the course of normal questing.

As you will know if you read my post about Petopia being updated, I am extremely excited about being able to tame moths now. However, my hunter is Horde-side and merely level 18 (well, the one I am playing recently anyway),and the only trainable moths pre-Outland are on Azuremyst Isle. Combine that with the fact that the boat crews are back in the game, and it becomes very tricky to get such a pet at a low level. But not impossible - here is how I did it.

Get yourself to Auberdine (Darkshore). If you are like me, this means world of warcraft money running from Orgrimmar, but at least I got to pick up some flight paths along the way.

Swim out to the very end of Auberdines dock, where the boat to Azuremyst docks. Position yourself right under the tip of the dock, and then drown (as close to the surface as you can).

Run your ghost out on the dock, stand at the end of it, and wait for the boat to show up. Do not resurrect yet.
When the boat arrives, run onto it (still in ghost form), quickly climb the back stairs, and carefully walk out onto the rope that stretches towards the front of the ship (see screenshot above). Now resurrect. You will be in combat, but nobody will run up to the rope to attack you. Now just do not move until the boat gets to Azuremyst.

When you get to Azuremyst you should be able to jump straight into the water, thereby avoiding combat world of warcraft gold. Now would be a good time to turn on your Track Humanoids if you are interested in finding a Blood Elf Bandit for the coveted mask. Make your way east towards Ammen Vale, where new Draenei start, being careful to avoid Azure Watch.

Unfortunately, you are going to have to die some more. There are high-level guards in the pass into Ammen Vale; I could not think of any way to get through besides corpse-running. But it only took two deaths, so I was not too bothered.

Just past the guards, you should find what you came for: Vale Moths. They are level 1, so you should have absolutely no trouble training one, and then you can simply hearth out. Enjoy your awesome new pet!