All in all it’s not a bad page. I like the testimonials and section where you introduce the people who care for the animals. Those are nice for building trust. But there is always room for improvement.
If your going to make comparison claims, you should back them up. Give some specifics.
I wonder if you would be better off with more of a lead gen offer than a direct sale. As it is now, you’re asking people to book site unseen. Perhaps hyping could have better luck with schedule a free tour or request a few information kit, or something of that nature.
If you do decide to keep it as a direct sell. I think you need to include more information. What does the trial price include? Is it a daily fee or overnight booking?
I would include photos of the place and details of what the pets experience will be. Is there a schedule for walks, play times, etc.? How much is indoors vs. out? What is the ratio of animals to care people?
How does the offer price compare to a regular booking? How much would the person be saving? More context would make it more effective.
Instead of a generic contact form, why don’t you include a calendar so the person can pick a specific day? If you include availability information, that would also add urgency.
Best of luck!