Exactly! Just transferring files, databases, and cron jobs. Be careful thought, as PTCEvolution files are encrypted, so you can't just zip them up from file manager and then export them on a new hosting service. They need to be either transferred via FTP, cPanel to cPanel transfer, or restored from backups.
You can just contact your new hosting provider and have them transfer the site for you. Most hosting providers offer free site transfer, and its quick.
+1
Also if you contact your new hosting provider, I am 99% sure, they would migrate your site to their server for free. 