In a saucepan, combine water and honey, and heat just until the honey dissolves completely in the water. A half cup of honey is not too sweet. Add more if you prefer a sweeter limeade. (Skip this step if using stevia.)
Allow honey water to cool completely while you juice the limes. (Skip this step if using stevia.)
Wash the limes well and juice them using your favorite method.
Mix the lime juice into the cooled sweetened water, and adjust sweetener to taste.
Serve over ice, and garnish with mint sprigs or lime slices.