Pull the bar to your shoulders, then punch it overhead.

Finish standing tall and stable before you start the press.
The clean and press is the old-school strength standard. You pull the bar from the floor to your shoulders with quad and hip drive, stand tall, then strict press it overhead with your shoulders while the glutes lock your hips solid underneath. Two big patterns in one lift means huge training economy, and it builds the kind of everywhere-strength that shows up outside the gym.
The overhead half. The press is strict, no dip or leg drive, just shoulders grinding the bar up from a dead standstill. The jerk uses leg drive and a fast drop under to move much bigger weights.
For this movement, yes, each rep starts from the floor. If you only want pressing volume, take the bar from a rack instead and call it what it is, an overhead press.
Completely normal. The clean uses your whole lower body while the strict press leans on much smaller shoulder muscles. Let the press dictate your working weight.




