I am on my 7th sit, and I have been able to do that kind of thing.
1.) Two dogs near the center of Brussels: regular dog walks in magnificent parks in the neighbourhood, restaurants around the corner, tram/subway stop close by.
2.) A dog and two cats in a wine village near Beaune: dog walks through the vinyards, cycling trips to Beaune for restaurants and museums.
3.) A sit without pets in Bologna: tram rides to the center, train trips to Ravenna etc.
4.) An old dog in Basel: three very short walks around the block, cycling trips up and down the Rhine, the Roman ruins in Augst, tram rides into the center, I bought a museum card for the area and I used it quite a bit. Some museums I visited twice.
5.) A medieval home in the Dordogne with a cat: I had a very busy social life there, several parties, quite a bit of wine, trips to Michelin-starred restaurants and castles.
6.) The cutest maltezer dog at the Costa del Sol: breakfast with the dog under a table at a café on the beach promenade, trying to learn Spanish with locals, there was a fiesta, plenty of restaurants
7.) Lovely well-behaved border collie in Groningen, close to a large park, but I can take him anywhere on walks to the center. He sits under the table when I am reading the paper at sidewalk cafés. And he can wait outside when I am in a store.
And I spend time on the couch, computering, pet close at hand.
So I am enjoying this 
Next is a few days near Geneva, on the way to a month in Provence. That dog is said to have some separation anxiety, so I guess that will mean a lot of walking in the hills, and no visits of museums in Avignon. That is perfectly fine.