… if I have worked this out correctly. Even if I have, this will be simplistic, all figures are very approximate and much of this won’t apply any more in a few months. But the point is that wherever you are in the next few weeks, at midnight you can face the direction the whole solar system is travelling, like Kate Winslett on the prow of the Titanic, with the sun and the other planets trailing in our (imaginary) wake.
This is inspired by an animation I saw somewhere, probably linked from here, that showed the way the solar system moves through the Milky Way. The sun moves along at a steady pace, surrounded by its planet outriders. The planets are constantly overtaking the sun or falling back behind it - in the context of the galaxy the planets all follow wavy lines rather than the ellipses we are used to seeing depicted.
So as the the solar system orbits the centre of the Milky Way it is moving in the direction of the constellation Hercules, with its speed relative to the whole galaxy being perhaps about 225km/sec. The exact spot we are approaching has a right ascension of 18h 28m. Today the sun is at 05h 30m. The earth is therefore between the sun and Hercules (it will be almost a straight line in a couple of weeks).
This means that having been racing ahead of the sun for the past few months, we are almost directly in front of it in our mutual journey round the galaxy. Soon we will move out to the left and begin to fall back behind the sun again. But just now, at around midnight wherever you are, if you look south/north/straight up towards the 30° north line in the sky, you will be facing the direction of travel of the whole solar system.
What’s more is that along with Saturn way out to our left*, we are the leading planets (in this diagram we are all collectively travelling towards the bottom of the page). Pluto is ahead of us and most of the other planets are strung out to the left* of the sun.
The sun will get to the general area where we now are in the galaxy in about a week, by which time we will of course have moved on. The front edge of the Kuiper belt is perhaps a year ahead of us. It will take the earth thousands of years to get to where the front of the Oort cloud currently is. The back of the Oort cloud will be about the same distance behind us.
*right if you’re south of 30° north.