This is work that you do from your home, so you don't have to worry about getting to your pet's owner's house. However, take care of the appropriate conditions for accepting the pet. Remove any dangerous items and those that are easily broken.
However, if for some reason you do not want to look after a pet in your home, you can describe your care service so that you can look after the pet in the owner's home. The animalhotels.com website is flexible. You can modify the offer according to your needs.