My pets

I have got several pets. I have got two cats. Their names are Plush and Murka. Plush is a beautiful cat. She has got colorful fur and green eyes. She likes to play and to sleep. Murka has got blue eyes and white fur. She is an afraid cat. This sentence is technically correct but sounds unnatural. It might be better to say "She is a timid cat". She likes to run. And I have got a kitten. His name is Tikhon. He is Plush"s son. Tikhon is a cute kitten. Cats are very funny animals.
I have got a dog too. His name is Baikal. He is a big dog. Baikal has got red fur. He likes to eats and to sleep :)

Very well done. Sheep have wool, cats and dogs have fur. 

We either say

1. Have/has 

2. 's/'ve got

We don't say 'has got'

So this is correct:

1. He has red fur

2. He's got red fur