I am an animal lover and I used to have a lovely goldie, Isaac who died of old age (13 years old) 2 years ago. Since then I have not adopted any other dog as I believe Isaac should and always will be the one and only pet buddy in my whole life as he played a part dearest to my heart. Another reason is that after experiencing parting with Isaac, I had promised myself to never keep another pet so as to not go through the same heartbreaking experience again.
Despite the wordiness of my reasons above, I hope they would provide you more the reason why you can trust that your pet would be in good hands with me as I would have an abundance of love and affection to shower your pets with as if they are my own, while not having the concern of emotional overattachment as the pet sitting would merely be a temporary service.
To hopefully give you more reassurances, I have had a few experiences pet sitting my neighbours' dogs and cats as I was known to be an enthusiastic animal lover in the neighbourhood!
P.S.: I am in fact pet sitting a cat of the sharehouse that I am currently living in!...