If you'd prefer a completely smooth soup, add the broccoli florets to the pot after the potatoes have cooked for five minutes, and continue simmering until all of the vegetables are tender, about five minutes more. Puree the soup until smooth. This would also make a great first course for six people.
Pinot Grigio is the all-purpose Italian white. Its full body matches the creaminess of this soup, while its high acidity offers contrast. The relatively neutral taste of the wine allows the soup's subtle flavors to come through. No wonder Pinot Grigio is so popular.