HealthyPets.com / bait and switch scam site
This is a bait and switch scam site that will pop up a banner telling you that you have qualified for free shipping, keep the shipping a zero all through the process of entering your information such as credit card numbers and, at the very last step, suddenly shipping is not free.
If you call them on it they will do hand waving about exclusions and send you a link to their policy but once they have told you, in banner letters, you have qualified, exclusions are no longer applicable. It would be different if they said you MAY have qualified.
Basic bait and switch. A scam site pure and simple.