pet shop
Sure, go ahead to the pet shop at Al Nasr street. buy a cute puppy. Just be informed that ALL pet shops in Doha are very unhygenic and have low (if any) standards. The animals are usually diseased and sick. My neighbor bought a kitten for christmas at this very shop. It died the next day. She had to threaten them with a call to the police in order to get a refund. QAWS is your best bet as they have trained vets to help them look over the animals in their care. Go there and get educated about pet ownership.