Creating the perfect Creamy Vegetable Soup is simple when you follow these steps:

1. Heat Olive Oil: In a large pot, heat the olive oil over medium heat.
2. Sauté Aromatics: Add the chopped onion and sauté for about 2-3 minutes until it becomes translucent. Stir in the minced garlic and cook for an additional minute.
3. Add Vegetables: Add the diced carrots and celery, cooking for 5-7 minutes until softened.
4. Incorporate Potatoes: Stir in the cubed potato and continue to sauté for another 3-4 minutes.
5. Combine with Broth: Pour in the vegetable broth and bring the mixture to a boil.
6. Season: Add thyme, basil, and season with salt and pepper to taste.
7. Simmer: Reduce the heat and let the soup simmer for 15-20 minutes, or until the vegetables are tender.
8. Blend: Use an immersion blender to puree the soup until smooth. Alternatively, transfer it to a countertop blender in batches.
9. Add Cream: Return the soup to the pot (if using a countertop blender) and stir in the heavy cream or coconut milk. Heat gently until warmed through.
10. Serve: Taste and adjust the seasoning if necessary. Serve hot, garnished with fresh parsley.

These straightforward steps will guide you through making an incredible Creamy Vegetable Soup that everyone will adore.