Follow these detailed steps to create the incredible Carrot Potato Soup:

1. Prepare the Vegetables: Start by peeling and chopping the carrots and potatoes. Dice the onion and mince the garlic.
2. Sauté Onions and Garlic: In a large pot, heat the olive oil over medium heat. Add the chopped onions and sauté until they are translucent, about 5-7 minutes. Add the minced garlic and sauté for another minute until fragrant.
3. Add Carrots and Potatoes: Stir in the chopped carrots and diced potatoes. Mix well to combine the flavors.
4. Pour in Broth: Add the vegetable broth to the pot, ensuring all the vegetables are submerged. Bring to a boil.
5. Simmer: Once boiling, reduce the heat to low and let the soup simmer for about 20-25 minutes until the vegetables are tender.
6. Blend the Soup: Using an immersion blender, carefully blend the soup until smooth. Alternatively, pour the soup in batches into a blender; be cautious of the hot liquid.
7. Stir in Milk: Return the blended soup to the pot, and stir in the milk. Heat over low until warmed through. Season with salt and pepper to taste.
8. Garnish and Serve: Ladle the soup into bowls and garnish with fresh parsley or chives if desired.

These straightforward steps will guide you to create a bowl of warm and comforting Carrot Potato Soup!