I promise to take better care of it than Varrock does to it's dogs

And then weapon poison and kwuarm sticks in yak with like 10 pray pots and some more brews and soups. I use supreme runic aura and animate dead. If you take it slow it's doable. But it does take some time.

https://preview.redd.it/jhhvrs3k9k6b1.jpeg?width=521&format=pjpg&auto=webp&v=enabled&s=2762a078eb9ad2e97af39572dd4fbf2614fb3cfe

What setup are you using for the higher world pushing?

So apparantly if you die after killing the boss on the 5th World in Shattered Worlds, you can roll for the pet without getting the world progress. 

So you can technically get the pet with only completing 4 worlds.

Abyssal Hound Pet