Right hand grip rule = conventional current in a conductor. Thumb points direction of conventional current, fingers point direction of magnetic field.
Right hand palm rule = Conventional current for questions relating to Motor Torque, Eddy Currents/Lenz Law, charged particles in magnetic field. Fingers point direction of magnetic field, palm points direction of force, thumb points direction of conventional current.
For real current, or electrons in magnetic field, use other hand or change direction of current with right hand palm rule.
I suppose there are other situations each one is used, but if you've got no idea I'm sure this is a start.