Creating Sausage Potato Soup is an easy process. Just follow these steps to bring this incredible dish to life:

1. Brown the Sausage: In a large pot, heat olive oil over medium heat. Add the sausage, breaking it up as it cooks until browned. This should take about 5-7 minutes.
2. Sauté the Vegetables: Add the chopped onion and minced garlic to the pot. Sauté until the onion becomes translucent, approximately 3-4 minutes.
3. Add Potatoes and Carrots: Stir in the diced potatoes and shredded carrots. Mix well to coat the vegetables in the sausage mixture.
4. Pour in Broth: Add the chicken broth to the pot. Bring to a boil over medium-high heat, then reduce to a simmer.
5. Season: Add thyme, salt, and black pepper. Stir to combine, and let it simmer for about 15 minutes, or until the potatoes are tender.
6. Incorporate Cream and Greens: Once the potatoes are cooked, stir in the heavy cream and kale or spinach, if using. Allow the soup to heat through for an additional 5 minutes.
7. Taste and Adjust: Taste the soup and adjust seasoning as necessary. Add more salt or pepper if desired.
8. Serve: Ladle the soup into bowls and garnish with fresh parsley if using.

These steps offer a clear pathway to prepare this delicious Sausage Potato Soup with ease.