If airliners and commercial planes have turbulence, can helicopters have turbulence?
That 'cloudy stuff' that you say is not 'turbulence', but condensed water vapor, the condensation being due to the sudden cooling caused by the adiabatic expansion of the air due to the aerodynamic disturbance caused by a passing blade (or wing).

That condensation can also be observed as wakes in landing aircraft, and in stationary revving props. It appears when the sudden expansion takes place in humidity conditions close to saturation.