For the best texture, avoid boiling the soup after adding cream and cheese and keep the heat on low to prevent curdling. Broccoli stem pieces can be peeled, diced, and added with the florets to reduce waste and add body. The soup will thicken further as it cools, so you can whisk in more broth or cream when reheating to reach your ideal consistency. Store leftovers in an airtight container in the refrigerator for up to 4 days or freeze for up to 3 months, reheating gently over medium low heat while stirring often.