Well, one possibility is that Lucius is really strict during the lessons. He might be pushing Draco to be the best on the broom, like how he always wants Draco to be top in everything. Maybe he's teaching Draco some special family techniques for flying.
In a fanfiction about Draco and Lucius' broom - riding lessons, the setting might play a crucial role. Are they having these lessons at Hogwarts? Or perhaps on the Malfoy estate? If it's at Hogwarts, there could be interactions with other students or teachers. For example, they might face some rivalry from Gryffindor students who are also good at broom - riding.
You might also see some magical elements specific to broom - riding. For instance, the type of brooms they use could be important. Are they using the latest and most expensive brooms? And how do they customize them? The lessons could involve not just the physical act of riding but also the magic involved in making the broom perform better. There could be spells that Lucius teaches Draco to enhance the broom's speed or stability.
Perhaps it's a story where Draco is learning how to fly better from his father Lucius. Lucius could be showing Draco some advanced flying techniques while they are on the broom, and during the flight, they might have a deep conversation about the family's future in the wizarding society.
Lucius might change too. He could start to see Draco more as an equal rather than just his son to be molded. Through the broom lessons, he realizes that Draco has his own ideas and ways of doing things when it comes to flying, and this makes him respect Draco more.
Another plot twist might be that Lucius is actually using the flying lessons as a cover for something else. He could be secretly training Draco for a dangerous mission or trying to pass on some secret family knowledge related to flying that has a greater significance in the wizarding world. For example, there could be a special flying technique that is only known to the Malfoy family and is crucial for a particular task or for their family's survival in a future event.
They could be racing each other on their brooms. Lucius, with his more experience, might initially be in the lead, but Draco, being young and eager, could use some new - fangled trick to overtake him.
Draco's relationship with Lucius could develop in a more positive way. As Lucius teaches Draco flying, Draco might start to see his father in a new light. He could gain a new respect for Lucius's skills and knowledge. For example, if Lucius shows Draco some advanced flying techniques, Draco might be in awe of his father's abilities and feel closer to him.
I think Lucius would break it down step by step for Draco. Maybe start with simple hovering and then move on to more advanced maneuvers. He'd also stress the importance of confidence and focus while riding.
In this fanfiction concept, it could be really interesting. Maybe Lucius is teaching Draco how to ride a broomstick. Lucius might be a strict but effective teacher, passing on his own skills and knowledge. Draco could initially struggle but gradually improve under his father's guidance.
One plot idea could be that through the riding lessons, Draco discovers a new side of his father Lucius. Maybe Lucius is softer and more patient during the lessons than Draco expected.