cPanel WordPress Site Migration

I need to move my entire WordPress site from my existing cPanel account to a fresh cPanel account with zero downtime. All files, databases, email accounts, and SSL certificates must arrive intact and the site should load exactly as it does now before I point DNS to the new server... (Budget: ₹600 - ₹1500 INR, Jobs: cPanel, Database Management, HTML, MySQL, PHP, Web Development, Web Hosting, WordPress)