Refreshing your Firefox browser can help resolve issues like slow performance or errors by restoring it to its original settings while keeping important data such as bookmarks, passwords, and history. There are several methods to refresh Firefox, including using keyboard shortcuts, troubleshoot mode, clearing cache, restarting the browser, resetting to default settings, and enabling auto-refresh through extensions. Each method serves a specific purpose and can be applied based on individual needs to maintain an efficient browsing experience.