Melt Butter in a Soup Pot over Medium High heat.
While the butter melts, start preparing your vegetables.
When chopping the Celery, Onion and Potato, add them to the pot as you prep them and sauté for a few minutes just until they begin to soften.
Add a few healthy pinches of both Salt and Pepper.
Add the Chicken Broth and bring to a boil. (If using dried dill add it to your soup at this point)
Cover the pot and reduce to simmer. For a thicker soup, simmer uncovered to allow some of the liquid to evaporate.
Cook until vegetables are tender and the potatoes are cooked. About 15-20 minutes.
Once the Vegetables are soft, it’s time to purée the soup. (If using fresh dill add it to your soup at this point)
Purée the soup with an ** or blender. If using a blender remove the soup and puree in batches then return the soup to the pot.
Once blended, add the half and half to the soup and warm through.
Serve with crackers or a simple salad.