I treat pets as they should with respect, and when first meeting I’ll let them smell me on their own terms. For walks when pet sitting I usually like to keep a schedule for which time they need to be let out just to give some similarity (if I’m able to know the times that be helpful) if not I’d just go based on the schedule I know (early morning, if needed a quick afternoon walk, then when it’s cool enough if during the summer 6 o’clock ish evening walk, winter about 5:30pm