The solar system is the gravitationally bound system of the sun and the objects that orbit it either directly or indirectly.
Is our solar system moving.
But it is true that the whole solar system is moving around the center of the galaxy and the plane of the solar system is tilted about 60 circ compared to the plane of the galaxy.
Our orbital speed.
Is not the only motion we have in space.
When you throw in the motion of the local group you.
The sun and the solar system appear to be moving at 200.
But since the nearest star is many light years away i would not concern myself with that too much.
Of the objects that orbit the sun directly the largest are the eight planets with the remainder being smaller objects the dwarf planets and small solar system bodies of the objects that orbit the sun indirectly the moons two are larger than the smallest planet.
The sun rotates as it orbits the center of the milky way.
Yes but in a relative sort of way.
It is also moving though rather slowing within the galaxy.
Another piece of evidence for the sun centered solar system comes.
The earth you see much like all the planets in our solar system orbits the sun at a much speedier clip.
If we ignore the earth s rotation and revolution around the sun we find that our solar system is moving relative to the cmb at 368 2 km s.
Its spin has an axial tilt of 7 25 degrees with respect to the plane.
Our solar system is moving along with the galaxy of course.
In order to keep us in our stable orbit where we are we need to move at right around 30.
We do not have a good grasp of other existing planetary systems to be able to answer the second part of your question.