LiteSpeed Web Server(LSWS) is officially supported by cPanel as of July 21st, 2014. This means that you can now install LSWS through cPanel and still continue to get the high level of support that you have come to expect from the cPanel team. Check out our blog post on this for more info.
EasyApache 3 PHP Configuration
EasyApache 4 PHP Configuration
|cPanel Setup||Video tutorial of step-by-step replacement of Apache on WHM (by SolidShellSecurity)
|Full cPanel Setup||Full walkthrough of cPanel setup, including Apache and PHP setup, then switching to LSWS (by DFG Design)