I went to get the ingredients last night, so the plan is to do all the baking tonight and tomorrow night, do the icing and initial setup Friday, and final assembly and decorations Saturday. It's going to be a hectic week!
The main thing I had to figure out before getting started was how to schedule the baking. I only have a few pans, so I'll need to reuse them. I first wrote down everything I needed to mix and bake:

Next, I wrote down each batch I would need to bake, and what pan would be needed. I moved the batches around until I came up with a schedule that would allow each cake to cool while a different pan was being used.

Edit: I forgot when I wrote this that I will actually be doing a 9x9 middle layer of vanilla, not 8x8. So the schedule is a little different, but the concept is the same! The cake will be a 12-9-6 three tiered cake, for even proportions.