1) I have my cast of characters and their relationships, but I need to include their desires. I can produce the desires from previous interactions, but will also create some randomly. If I didn't have my characters already, I would probably use UNE or DCC funnel character generator to make a bunch and then randomly determine who is connected to whom and what their desires are.
2) I would then pull out about five characters to be the main characters of the session. I would randomize their order and use the current character and their desires to produce scenes. I would pick the obvious characters required for the scene, as well as allow others to be interjected randomly, especially if they have Drama tokens. It could be interesting to be in situations where the obvious characters are not present.
3) Dramatic Scene resolution would be based on some probability that the granter submits to the petitioner, probably just an Oracle question including "... and" and "... but."
4) For Procedural scenes, I would decide the GM's resolution at random (unless some difficulty level felt right). I would also determine whether other characters participated based on their previous encounters with the subject matter and a random die roll. The random roll would add nuance to the character. For example, they could have supported the character in the past, but this time, choose not to. I could then figure out why.
To help with the scene development, I will use some type of random generator, maybe story cubes or zerodice.
I will also put my characters of 3x5 cards so that I can keep track of a) order, b) who is in the current scene, and c) how many tokens they currently have. I'll have to do this at the table. I also have a character web (example of page 16) to help me keep track of connections and relationships. Page 57 has an example of note taking that seems pretty useful.