I have a couple of cats at home.  They're pretty funny.
I agree, are they typically furry, carnivorous mammals? 
Yes, although they mainly eat cat food.  They have intense chases around the yard.
Do you value them for companionship or for their ability to hunt vermin?.
A little of both.  They do like to chase birds away.  But when they're done playing they rub up on me all the time, which is nice.
There are more than seventy cat breeds so which ones do you have?
One Tuxedo and one Mackeral Tabby.
registries.
Cats are similar in anatomy to the other felid species, with a strong flexible body, quick reflexes, sharp teeth and retractable claws adapted to killing small prey. They are predators who are most active at dawn and dusk (crepuscular). Cats can hear sounds too faint or too high in frequency for human ears, such as those made by mice and other small animals. Compared to humans, they see better in the dark (they see in near total darkness) and have a better sense of smell
Lists of cats
The cat ("Felis silvestris catus"), also known as the domestic cat or house cat to distinguish it from other felines, is a small carnivorous species of crepuscular mammal that is often valued by humans for its companionship and its ability to hunt vermin.
Lists of cats include:
- List of cats – individual notable cats
- List of cat breeds
- List of experimental cat breeds
- List of fictional cats