I was told to wait until the 3rd set of shots. Pet stores are the worse to let your baby run around in until they're safe. Also I was told to watch out for mobile groomers. My vet told me to make sure you wipe your feet off well before coming in the house as we're likely to track it inside. Our Pit had parvo when he was a puppy and survived. Very very costly though. I don't know how a 2lb. puppy would do if they caught it.