You might try cutting out wheat, other grains and fruit since they have a lot of carbs. You should cut out rice and starchy veg (e.g potatoes) as well. Natural fat is fine, such as butter, cheese, other full fat dairy, meat, oily fish, etc. The fats to avoid are trans-fats in processed foods and veg/seed oils, which are not natural. Avocado and good quality olive oil are fine. The potential problem with olive oil is that a lot of it in regular stores is adulterated with cheap veg/seed oils.