Are there any teens who might do some dog walking for you? Wondering if having a couple of people you could call on who might be able to pop round and take the dogs out for 1/2 hour or so would open more options for you with the children.
Do pack the bag, when we were selling the house I kept a change of clothes, juice boxes, cereal bars etc in the the car for short notice viewings. We found after the first couple for days it was predictable that people would either want to view in their lunch hour, or on the way home from work, we didn't get as many weekend viewings as I thought either. It was an utter pain in terms of the kids meal times and having snacks handy made a big difference.
We spent a lot of time in the local library, or even listening to audio books or me reading to them in the car.