The relevant "speed" is the change of the direction you are pointing at. The Earth rotates around itself in 24 hours, but around the Sun in 365 days, so the daily rotation is 365x as fast. We also rotate around the center of the Milky Way every couple of hundreds of millions of years.

The Earth is in freefall above the sun. We are not in freefall. https://en.wikipedia.org/wiki/Free_fall

I never thought of that one. It's fun to think "we know the whole universe isn't spinning very fast, because our gyros are stable". Feels both obvious and somehow bigger-than-life to me.

We are not kinetically bound to the galactic center, there is no friction causing earth to remain "upright" in respect to the galaxy. Earth is also a freely rotating inertial body and, even though wobbly, it is itself a gyroscope.

The next level of stabilization would probably be gravitational waves.

Anyone who’s read the short story “The Billiard Ball” by Asimov would have taken it into account.