yes its homologous to a bats wing
You take the dog to a veterinary practice, and have them do it. There's no other responsible way around it.
their front paws are used for pouncing and grabbing on to their prey, also used for burying their feces and urine in the kitty litter.
Their names are just Cat and Dog!
No. There is a cartoon called "Cat-Dog". But, there is no cat-cat or cat-dog in reality.