The safest way to lose weight while breastfeeding or any other time is by eating a healthy diet and getting a moderate amount of exercise.
Sounds like a lemonade, maple syrup and cayenne pepper diet might be some kind of fad, that isn't good for you any time, let alone while breastfeeding - I suspect that cayenne pepper might come through the breast milk and affect the baby...
The best diet you can go on is nearly unlimited veggies, lean protein, healthy fats, including coconut oil, butter, nuts, seeds, avocado, full fat dairy, etc. Eliminate bread, pizza, pancakes, waffles and everything processed from your diet... the closer to raw, your food is, the better and the less "white" food (flour, sugar, pasta, rice) you eat, the better. Replace those things with the healthy fats I mentioned and you'll feel fuller, longer and it won't spike your blood sugar levels, which in turn spike insulin levels. If you eat grains, make sure it's whole grains and limit it to one to two servings/day.
Thanks, I will give it a try.