Thoroughly wash dandelion greens under cold running water. If foraging, ensure they are from a clean, pesticide-free area. Remove any tough stems, yellowed leaves, or flowers. Roughly chop the greens and set aside.

In a large pot or Dutch oven, heat olive oil over medium heat. Add the chopped onion, carrot, and celery. Sauté for 5-7 minutes until the vegetables have softened, stirring occasionally.

Stir in the minced garlic and cook for another 1 minute until fragrant. Be careful not to burn the garlic.

Add the diced potatoes and vegetable broth to the pot. Bring the mixture to a boil, then reduce the heat to a simmer. Cover the pot and cook for 15-20 minutes, or until the potatoes are fork-tender.

Add the chopped dandelion greens to the pot. Stir well and cook for just 2-3 minutes until the greens are wilted and bright green. Avoid overcooking to preserve their vibrant color and slight, desirable bitterness.

Carefully use an immersion blender to purée the soup directly in the pot until it reaches a smooth, creamy consistency. If you don't have an immersion blender, transfer the soup in batches to a regular blender (use caution when blending hot liquids; fill only halfway, secure the lid, and remove the center cap to vent steam, covering with a kitchen towel). Blend until creamy.

Return the puréed soup to the pot (if using a regular blender). Stir in the heavy cream and fresh lemon juice. Heat gently for a few minutes until warmed through, but do not bring the soup to a boil after adding the cream.

Season the soup with salt and black pepper to taste. Adjust seasoning as needed, adding more lemon juice if you prefer a brighter, tangier flavor, or a pinch of sugar to temper bitterness if desired.

Ladle the hot soup into bowls. Garnish with a drizzle of extra virgin olive oil, a sprinkle of fresh chives, croutons, or grated Parmesan cheese, if desired. Serve immediately.