Here's how I use Darkmoon Zeppelin to level my pets from level 1. Go to The Veiled Stair. All of the battle pets here are critters. Load up: Darkmoon Zeppelin with Decoy loaded. The pet you want to level. Level 1 is fine. Any pet that is strong against critters. Begin the battle. On the first turn, ...

I have an Eye of the Legion and a Landro's Lichling, plus an undead battle stone. From your list I need the Crawling Claw, Hyacinth Macaw, or Arcane Eye. If you're interested in some sort of trade, Moozipan#1590.

I did this and the pvp thing wasn't a problem at all. In the lowest zones I was never flagged. As I leveled up, people left me alone.

I also love Pettracker. It allows you to filter your map by all pets, no pets, or pets that you can upgrade, and shows you where they can be found in the zone. It's like having the wowhead dot maps in game.

With the exception of Cinder Kitten, all other pets are $5 on the store.

My pandaren air spirit for your hyacinth macaw? I checked prices on a few different servers and it looks like AH value wise it would be in your favor.

I petitioned through the website on the 4th and today received a flawless stone in the in game mail.

Feline Familiar got my first stone.

I found a Kun-Lai Runt.

It was working fine for me last night. Also, you can abandon when the fit starts, you don't have to wait until the end.