They're not here forever
Include them in your session
Your cats and dogs, as well as any other pets you may have, make a huge impact on your life and deserve a spot on the grid as well as your photo wall in your home.
I highly recommend including your pets, as long as it's a safe environment for them. Personally, I think it's the best decision you can make, especially if you want your photos to represent who you are today. Don't forget that your session is highly personalized and ideal for including your fur babies.
BONUS: Including them in your session makes everyone happy and breaks the ice of "posing" in front of the camera. They are guaranteed to make you smile in your photos and make your session even more centered around you and what your life looks like today.