You'll do much better in terms of feeling hungry, by eating more protein and not deliberately restricting your fat intake. Dunno how old you are, but years ago the egg marketing board used to advertise, 'Go to work on an egg' - and featuring a boiled egg in an egg cup so immediately evoking thoughts of a boiled egg at breakfast time. That slogan still hold good 60 years later - much more help to us all to eat protein for brekkie instead of a bowl of carbohydrate (cereal) instead. The full English is also OK, as are eg kippers. So is plain yoghurt (and most of us develop a preference for thick, full fat, Greek style yoghurt, with or without a small amount of lowish carb fruit eg raspberries or strawberries. Steer clear of fruit FLAVOURED yoghurts - usually much higher carb than yog with real fruit.
Fat can be useful anyway because if you have it with carbohydrate, any time of day, it slows down the speed at which that carb gets converted to glucose in the blood. So if you imagine that carb on its own (eg a slice of 'dry' bread) is converted at 100mph, a slice of the same bread with butter on it, will be converted at 60mph. Mashed boiled potato - mash butter in with it. Boiled new potatoes - serve with a knob of butter. Still fast, just not quite as fast.