Cook the potatoes: Add the diced potatoes and broth to the pot. Bring to a boil, then reduce the heat to a simmer. Cook until the potatoes are tender, about 15-20 minutes.
Blend until smooth: Using an immersion blender, puree the soup in the pot until smooth.
Stir in cream: Return the soup to low heat and stir in the heavy cream. Season to taste with salt and pepper.
Serve and garnish: Ladle the soup into bowls and garnish with chopped chives or parsley.
Notes
For a lighter version, substitute heavy cream with half-and-half. Add vegetables like carrots or celery for extra nutrition.