do a normal program and simply eat meat, fish and a ton of veggies. A few dried nuts, and oils.
I also eat omelettes and 1-3 fruits. and if I feel hungry I'll eat carbs as well but not a lot.
To be honest I think the people who say only meat/fish and veggies are crazy. You'd need to eat 5 lbs of meat to not lose weight too fast.
Also drink a ton of water. 1.5 gallons or two.
I'm losing more than 1 lb per week eating like this around half the days. On the other half when I "cheat" I have eaten even pizzas and other crap sometimes.
My point is, its easy don't overthink it. Simply remove carbs and keep to a calorie deficit of 500-1000kcals. If you are feeling too hungry don't be afraid to eat carbs, just don't overdo it.