TRINITY>GOD>SATAN>MAN>WOMAN>ANIMALS
No where in the Bible are Animals found as pets. Caring for an animal is one thing, bowing down and treating it like a human member of your family is another.
Farmers "care" about their livestock. This is evidenced in the parable of the 99 sheep.
There are zero cats in the Bible and dogs are usually spoken of in a negative light and not a positive. Even a dog has a use to a man - to protect sheep from wolves. Or to bark an alert the owner of intruders?
I notice that all animals in the Bible (when domesticated) seem to have a purpose that serves man. Usually Livestock, but even the Lions in the lion's den of Daniel had a purpose.
When a man domesticates an animal he takes responsibility for the animal as its owner.
Proverbs 12:10 "A righteous man regardeth the life of his beast: but the tender mercies of the wicked are cruel" (Ever heard of cow tipping?)
But according to Jesus in Mathew 6:26 the heavenly father feeds the birds (animals). Suggesting that wild animals are taken care of by God, but when one enslaves an animal into bondage they become the owner and assume responsibility. Dog on a chain, fish in a bowl, bird in a cage, etc.
The Bible says man has dominion over all the animals -
Genesis 1:26 "And God said, Let us make man in our image, after our likeness: and let them have dominion over the fish of the sea, and over the fowl of the air, and over the cattle, and over all the earth, and over every creeping thing that creepeth upon the earth."
Elevating animals to human status is the perversion of the modern world. And it is inordinate affection. (colossians 3:5) Which could also be applied to many other things of this world like gadgets or "stuff"
1 John 2:15 "Love not the world, neither the things that are in the world. If any man love the world, the love of the Father is not in him."
The modern world perverts the status of animals, in much the same way as it perverts women over men.
In heaven I imagine that animals are the last of our concerns. And they do not play into earthly or heavenly salvation.