I will only take on parents who will allow me to take their children with me if I had to go out and about. Last school year I was doing transport, so they had to be okay with that. And now, I don't go out in the vehicle often, but I like having that option.
I have had parents say to me that they would rather that we are going out and doing things, not sitting in the house all day. Last week we went to a mall, to see a "My Little Pony" stage show, and the kids loved it. For me, it made the day go by super fast!
I would not drag the kids to do a million different errands, to save my own sanity, lol. But I run a home daycare partly because of the flexibility that it provides. Not being able to go to the grocery store on a Tuesday mid-morning is exactly why I choose not to work outside the home!
I do try to let parents know in advance if we plan to go out. And on occasion, my husband has supervised nap-time while I pop out to the doctor's or bank, half hour or less trips. Again, I got parents to approve/ok this in advance.