Citation managers are a fantastic way to help you keep track of your sources, and eventually build your footnotes and bibliography. For a great comparison of tools, see the MIT LibGuide on citation management.
Your AstroStats paper must follow the American Astronomical Society (AAS) style guidelines, found in Zotero under The Astronomy Journal. You can add that format to Zotero by clicking "Create Bibliography" and then "Manage Styles." Search "Astronomy Journal" and add the style.
Most journals and organizations have their own style requirements. If you plan to submit a paper for publication, make sure you check the guidelines first! Citation managers like Zotero can help you follow this formatting. Still, remember to proofread your paper against the publisher's specific guidelines.