What is the best way to reduce my fat intake while on a low carb diet?

Think about energy: Both fat and carbs function as energy source. If you reduce both your body will start to resent it and you will feel fatigued, not able to perform any physical activity. Instead, increase the exericise, and , with a low carb intake your body will be forced to use more fat for energy. Be careful, because you will feel more sore after any physical activity with extreme low carb diets.