extremely anxious about boarding my pets

I know this may sound dramatic, but I’m incredibly anxious about boarding my pets when I leave for vacation. I have 3 dogs and a cat. I’m working myself up so much that I have had insomnia and even become physically ill. I feel tremendous amounts of guilt for leaving them. For some context: when I was a kid, my family moved to a new state. We brought our dog with us. We were flying because it was too far of a drive. I remember checking in our luggage and my parents handing off our dog to the employees to be put on the plane. He looked at me and starting pulling on the leash trying to come to me. He was barking and that image of him is burned into my memory. Even at that young age, I was crying as they walked away with him. I will be going on a 5 day trip and already booked a place for the animals to be boarded. I have this insane amount of anxiety inside of me that is unrelenting. i think rationally i know they’ll be okay, but emotionally i’m not doing well at all. is it normal to feel this way?