I personally don't like the Dukan diet, because it ignores the fact that protein can cause insulin to rise just like carbs, which prevents fat burn.
Avoiding certain fats it really a bad idea. Good fats promote healthy feeling, weight loss, and brain function. Without them your body is being malnutritioned.
Fry in coconut oil (up to 375 degrees). Must be extra virgin cold press. Palm oil is another alternative that you can raise to higher heat.
The benefits of coconut oil are enourmous for your health and weight loss so don't be afraid of the saturated fat content.
Saturated fat is good!