On the Image above, the arrows pointing upwards depict Solar System's travel direction.
The arrows pointing to the right show its own direction of rotation and the direction of the planets within it revolving around the Sun.
The big circles are the Sun and the stripes are its differential rotation.
Is any of the two examples above correct?
The first image is closer. The planets orbit roughly in a plane that aligns with the equator of the sun.
The rotation of the planets is varied, Jupiter rotates in the same plane as the sun. The Earth in inclined by 23 degrees to this plane, and Uranus is tiped sideways at 98 degrees. Venus rotates very slowly backwards, tilted 180 degrees.
The solar system then moves relative to the centre of the galaxy in a direction that included by about 60 degrees to this plane.