Veterinary Care for Cats Only Request an Appointment Client Portal Feline-Only Veterinary Clinic in Durham & Chapel Hill The Cat Hospital of Durham and Chapel Hill is a full-service veterinary clinic that provides care exclusively for felines in a calm and friendly environment. From your kitten to your senior cat, we are here to help with all of your cat’s medical needs. We offer wellness and preventative care, emergency care referrals, boarding, and grooming.