Thanks for coming to read this, but I have never been good, and barley know how to do it. So I have a economy plugin I have been working on and now know I have to have it be supported with Vault for ChestShop to work. If someone would please give me a helpful response on how this all works that would be just awesome. Thank you very much.

you can create a vault hook in your plugin for when it loads up. Just create one similar to the ones built into Vault already and register it into the service provider. inclusion in Vault generally is for plugins that are planned to be released publicly, if you're just experimenting with your own economy that;s great, but there are plenty of fully functioning ones already.