Any Faster way to Migrate WHM/Cpanel sites to Centminmod Based Server?

probably hire a professional or if you can yourself write a script to package each cpanel account as there is a native script tool in whm for that and then then transfer them to Centmin Mod server and then unpackage them and script it to move the relevant unpackaged directories to right place i.e. web root files to web root and mysql sql data files to be imported into mariadb mysql etc.

or you can just script it to get web root + mysql data and transfer and import to Centmin Mod

FYI, transferring data from one server to another is always the same. To backup data and transfer to new server. You can try some tips I posted and discussion at Restore from Backup Scenario - transfer to new server just revise them for whm/cpanel structure

edit: there's now a how to guide for cpanel transfer migrations to centmin mod at Upgrade - Nginx - Insight Guide - How To Transfer cPanel/WHM Sites To Centmin Mod LEMP Servers