Coming in patch 5.2 are four new dinosaur pets to collect, the Zandalari Anklerender, Zandalari Footslasher, Zandalari Kneebiter, and Zandalari Toenibbler.
These four companions drop from the Isle of Giants. I haven't found a very elegant way to travel there for the first time, other than simply mounting up and flying north from Kun-Lai Summit. Once you've traveled to the Isle of Giants, though, you can learn the flight path and use it to travel back and forth.
So where exactly do these pets drop? You'll need to kill some Zandalari Dinomancers, level 90-91 elite NPCs.
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There are 8 groups of Dinomancers located on the Isle of Giants. The associated number next to each red circle is the number of NPCs found in that particular area. Most come in pairs or in groups of 3+, with only a few spawning as solo pulls. The Dinomancers that are in the very center of the map (6 of them) is the only area where there are multiple NPCs that can be agro'ed individually.
Be cautious when traveling around the island; there are level 90-92 elite dinosaurs everywhere. It's a dino-lover's paradise (until those dinosaurs decide you'd be a tasty meal)! :P
To get around this, you can head to the alliance (far left purple circle) or horde (far right purple circle) "base camps" to purchase some Intact Direhorn Hide. It turns you into a Triceratops (of varying color)!
This item is only usable while on the island, so you'll want to stick around if you buy them. Even touching the beach where the flight paths are located will remove the costume. Using the Hide won't make the dinosaurs and Dinomancers friendly or neutral to you, but it will drastically reduce their agro range. And yes! This costume works on the Dinomancers as well. Using abilities or entering combat will remove the costume, however fall damage will not.
If you're feeling adventurous and daring, you can try taking on the boat where there is a grand total of 24 Dinomancers.
It will take a little bit of fancy jumping to get up and onto the side, and once you're up, be aware that there are two Dinomancers as well as an elite T-Rex waiting for you. Stealth and invisibility potions are invaluable if you're headed for the boat.
You'll also want to be wary of the level 92 rare elite that spawns on top of the boat, War-God Dokah. He's easily avoidable, and you can pull any Dinomancers that spawn nearby away from him without pulling him.
The Dinomancers have a decent respawn rate, and the drop rate of the companions isn't too low, however it's still random so you could get one your first kill or spend a few days trying to find one. Whatever you're seeking on the Isle of Giants, good luck and enjoy the epic dino-scenery!