Hi. I'm Dr. Lee and will do my best to help.
How much does your puppy weight?
And how much water would you say he drinks per day on average?
Thanks for the update.
For a 9 pound puppy, 1 pint is just a little bit more than normal, but not really that excessive. Since he is new to the house, there is no need to be concerned right now. Give few more days to climatize and see if he is drinking too much. A dog is not considered to be drinking excessively until they drink more than 1.5 oz of water per pound of body weight. You also have to take into account the amount of water "wasted" while drinking and also if he is playing with the water. Overall for your dog, at 9 pounds, 1 pint of water a day is not that excessive. Give him a few more days and then re-assess. If he is drinking a lot more than 1.5 oz per pound, like a double to 3 oz per pound, then he needs to go see your vet for exam and urinalysis.
Please let me know if you have any questions or concerns. Thanks.