I know this isn't what you asked: but I hope this helps. I ran this with 4 Potter experts, I am not. Here's what I did.
The beauty of PbtA games is the agency it gives the players. Before you start, ask each one of them what three things they'd like to see in the game from the HP world. Start on the train to school and just have them encounter one of those things. They will take the story from there. You'll be there to pepper in the other wishes & help guide their mess of ideas. :)