When photographing people and their pets, they don't always have to be looking at the camera. And shooting from the pet's eye level perspective makes the portrait more personal.
I am almost always sitting or lying on the ground when I photograph pets.
Face to face portraits that show the bond and love people share with their pets can make very intimate portraits. Find a quiet setting, some beautiful light, and ask your subjects to pretend you are not there and then capture some memorable moments.