My first order has officially been fulfilled! And let me say, there were a couple of things I had overlooked! For those of you who may want to do something like this one day, here are a couple of pointers:
1) Make sure you have an invoice/receipt template ready to include with the order
2) Make sure that whatever platform you're using for the online store, that it automatically sends a shipping notification to the buyer (and includes tracking information if you provide one).