Preheat oven to 350°F (175°C). Line a muffin tin with paper liners or grease lightly.
Mix dry ingredients: In a large bowl, whisk together the cornmeal, flour, baking powder, baking soda, paprika (if using), and salt.
Mix wet ingredients: In another bowl, whisk together the oil, melted butter, eggs, honey, and buttermilk until well combined.
Combine: Pour the wet mixture into the dry ingredients and gently fold until just combined (do not overmix).
Add mix-ins: Fold in the chives, bacon, jalapeños, and cheese if using.
Fill muffin tin: Divide the batter evenly among the muffin cups, filling each about ¾ full.
Bake: Place in the oven and bake for 20–25 minutes, or until a toothpick inserted in the center comes out clean.
Cool & serve: Let muffins cool for 5–10 minutes before removing from the tin. Serve warm.
