Brainstorm a list of 10 names for a new grooming salon that grooms cats and dogs. Make it a numbered list.
Sure! Here you are...

1. Paws and Claws Salon. This name is non-exclusive and can be used for dogs and cats.
2. Barks and Purrs Grooming Salon. Mentions dog and cat sounds in the name, suggesting you would groom both cats and dogs. 
3. Puppies and Purrs Grooming Boutique. Puppies and purrs of the cat suggests you groom both cats and dogs.  
4. Kittens and Cuddles Grooming Salon. Kittens and Cuddles would suggest you groom cats. Not so many dogs, but it could still work. 
5. The Best Grooming Salon. Best overall grooming salon.
6. Balls and Catnip Grooming Salon. The name has both items that dogs and cats would play with. 
7. Fetch and Play Grooming Stop. Fetch can be assumed for a dog and cats do play. 
8. Barks and Bubbles. Bubbles could be pertaining to dogs and cats.
9. Pups and Kits Grooming Stop. Kits are short for kittens, so cats and dogs are mentioned in the name. 
10. The Best Dog and Cats Grooming Shop. Self-explanatory. 