Be cautious with Santorini and kids. Some hotels don’t do kids (check carefully) and not all hotels are suitable for kids along the caldera lip. Many steps, confined spaces and other guests who don’t actually want to hear kids … Here’s an idea – look for a child-friendly hotel (perhaps on the beach at Perissá) and base yourself where the kids will like it and then take them to the caldera scene. There are a couple of child-friendly hotels on the Caldera, but they get booked very early in the year.
Since airline reservation requests are often made by city-pair (such as "show me flights from Chicago to Düsseldorf"), an airline that can codeshare with another airline for a variety of routes might be able to be listed as indeed offering a Chicago–Düsseldorf flight. The passenger is advised however, that airline no. 1 operates the flight from say Chicago to Amsterdam, and airline no. 2 operates the continuing flight (on a different airplane, sometimes from another terminal) to Düsseldorf. Thus the primary rationale for code sharing is to expand one's service offerings in city-pair terms to increase sales.