Step 1Cut the carrots into matchsticks (one-fourth inch by 1-inch). Transfer to a saucepan and add the butter, sugar, pinch of salt, nutmeg and about 1 cup water. Cover and cook over medium heat until the carrots are tender, about 20 minutes, adding more water if needed. When the carrots are cooked, uncover and raise the heat and cook until the liquid is completely absorbed, about 8 to 10 minutes.
Step 2Gently stir the lemon juice into the carrots and bring to a boil. Gently stir in the cream and boil a minute or so, just until the carrots are glazed.
Step 3Check for seasoning and turn out into a warmed serving dish. Sprinkle with the chives and serve at once.