Creating smoky jalapeño cheddar potato soup is straightforward if you follow these easy steps:

1. Sauté the Aromatics: In a large pot, heat the olive oil over medium heat. Add in the chopped onion and sauté until translucent, about 5 minutes.

2. Add Jalapeños and Garlic: Stir in the minced garlic and jalapeños. Cook for another 2-3 minutes, allowing the flavors to meld.

3. Incorporate Potatoes: Add the diced potatoes to the pot. Stir well to combine with the onion and jalapeño mixture.

4. Add Broth and Seasonings: Pour in the vegetable or chicken broth, and sprinkle in the smoked paprika. Bring to a boil, then reduce the heat to a simmer.

5. Cook Until Tender: Simmer for 20-25 minutes or until the potatoes are fork-tender.

6. Blend the Soup: Using an immersion blender, carefully blend the soup until smooth. If you prefer a chunkier texture, you can blend just half of the soup.

7. Add Cream and Cheese: Stir in the heavy cream and shredded cheddar cheese. Cook for an additional 5-10 minutes until the cheese is melted and fully combined.

8. Season to Taste: Add salt and pepper according to your preference.

9. Garnish and Serve: Ladle the soup into bowls and garnish with chopped green onions and cilantro.

10. Enjoy: Serve hot and enjoy the smoky, creamy deliciousness of your homemade soup!