Prepare all ingredients as listed above.
Heat olive oil in a medium pot over medium heat. Add chorizo slices and cook for 2–3 minutes per side until lightly crisped and the oil is tinted red.
In the same pot, add chopped onion and sauté for 3–4 minutes until softened and translucent.
Add diced potatoes, chicken broth, salt, and pepper. Bring to a boil, then reduce heat to a simmer. Cover and cook for 15 minutes, or until potatoes are fork-tender.
Stir in kale and return cooked chorizo to the pot. Simmer uncovered for 5–7 minutes until kale is tender but still vibrant. Taste and adjust seasoning as needed.
Optional: using an immersion blender or blender, blend the soup until the potato is smooth.
Warm the crusty bread.
Stir together milk, cinnamon, and honey until fully combined.
Serve the caldo verde with crusty bread and cinnamon-honey milk.