Preheat the oven to 200°C / 400°F / Gas mark 6.
Prepare a shallow baking tray with 3 tablespoons of the sunflower oil and place in the oven for 5 minutes. Then remove from the oven.
Meanwhile, toss the potatoes with the paprika, cayenne pepper and some salt.
Carefully tip the potatoes into the baking tray and return to the oven.
Cook for 30 minutes, tossing them halfway through cooking.
They may need an additional 10 minutes to fully crisp up.
Ten minutes before the chips are ready, heat a large griddle pan.
Cook the ham slices for 3 minutes on each side until they are hot and have griddle lines on both sides.
Transfer to a plate and cover to keep warm. In a small frying pan, heat the remaining oil and fry the eggs to your liking.
Top each slice of ham with an egg and bit of dill and serve with the oven chips, and ketchup if you like.