You should get an initial shipment of everything you could possibly need. You can find the supply replenishment guide on Workbench under Logistics > Ship from Store. I don't really pay attention to how much it says I need of everything, and instead order based on experience. Since your store won't have that yet, I'll just caution you to pay attention to how many boxes are on each pallet and keep that in mind when ordering. For smaller supplies (things that don't come by the pallet), order a LOT.
As the signing TM, you are probably best equipped to organize shit, so don't be afraid to take charge of that. Think of it as an empty fixture room...how would you organize it? One thing that I've found helpful is having static pallet spaces for boxes (previously we would just put a sign on the pallet and throw it wherever). The space is labeled and what's supposed to go there is the only thing that goes there. Put the 277 boxes and 126 boxes in your most inaccessible pallet spaces since you'll need to replenish those the least.