There is no "Right" way to kick
A few things that i do when i kick tho are...
rotate chest and bend lumbar
move pecs the way ur chest is going (Left rotating chest=contract left pec, extend right)
extend glutes
contract one hip, extend the other
relax the knee that u are gonna kick with
extend ankle that is staying on the floor (for more power)
Those are just some things that help in a kick