In a small bowl, combine the butter, lemon juice, and chives.
Serve warm with cooked artichokes.
For the herbed mayonnaise dip:
In a small mixing bowl, combine all ingredients. Chill until ready to serve.
Serve the sauce cold alongside the cooked artichokes.
To make dairy-free: use a high-quality olive oil for the butter or ghee. Promptly store leftovers in an airtight container in the refrigerator, for up to 3 days.Nutritional values are approximate and based on 1 artichoke plus 1/4 of each of the dips.