The first fight is the Thundering Pandaren Spirit, which is right next to the teleport spot in the Vale of Eternal Blossoms. The fights are ordered to minimize travel time between trainers, and complete on one rotation using a mage. Links are provided to the comments containing the original strategies. The strategies are not my own I have modified some, and clarified a few. Plus, if you don't have all of them, you can do most of the fights with just the first two. It uses six fairly easily obtainable pets. This is a low investment for the 14 other days you're waiting for Squirt. Here is a really good and current strategy for that battle. For that, you'll want to mark your calendar for when Squirt visits the Level 3 Pet Menagerie in your WOD Garrison.

This isn't the fastest method to level your pets.

This guide compiles, orders, and clarifies the strategies for 11 Trainer / Pandaren Spirit Matches in Pandaria which will allow you to daily level two pets from 1 to 25 - plus an extra 1 or three fights, depending on your food buff - and obtain extra goodies such as pets, bandages, and rare stones.