The original question was: Considering the spin of the earth, it’s orbit around the sun, the sun’s orbit around the Milky Way and the Milky Way’s journey through interstellar space, has anyone calculated our speed though the universe?
Physicist: The short answer is “yes”, and the long answer is “well… yes”.
The problem with motion is that “true motion” doesn’t exist. The best we can do is talk about “relative motion” and that requires something else to reference against. What you consider to be stationary (what you chose to define your movement with respect to) is a matter of personal choice. The universe isn’t bothered one way or the other.
Relative to your own sweet self: Zero. This sounds silly, but it’s worth pointing out.
Relative to the Earth: The Earth turns on its axis (you may have heard), and that amounts to about 1,000 mph at the equator. The farther you are from the equator the slower you’re moving. This motion can’t be “ignored using relativity”, since relativity only applies to constant motion in a straight line, and movement in a circle is exactly not that. This motion doesn’t have much of an effect on the small scale (people-sized), but on a planetary scale it’s responsible for shaping global air currents (including hurricanes!).
Relative to the Sun: The Earth orbits the Sun at slightly different speeds during the year; fastest around new years and slowest in early July (because it’s farther from or closer to the Sun respectively). But on average it’s around 66,500 mph. By the way, the fact that this lines up with our calendar year (which could be argued to be based on the tilt of the Earth, which dictates the length of the day) to within days is a genuine, complete coincidence. This changes slowly over time, and in several thousand years from now it will no longer be the case. Fun fact.
Relative to the Milky Way: The Sun moves through the galaxy at somewhere around 52,000 mph. This is surprisingly tricky to determine. There’s a lot of noise in the the speed of neighboring stars (It’s not unusual to see stars with a relative speed of 200,000 mph) and those are the stars we can see the clearest. Ideally we would measure our speed relative to the average speed of the stars in the galactic core (like we measure the speed at the equator with respect to the center of the Earth), however that movement is “sideways” and in astronomy it’s much much easier to measure “toward/away” speed using the Doppler effect. Of the relative speeds mentioned in this post, the speed of our solar system around the galaxy is the only one that isn’t known very accurately.
Relative to the CMB: The Milky Way itself, along with the rest of our local group of galaxies, is whipping along at 550 km/s (1.2 million mph) with respect to the Cosmic Microwave Background. Ultimately, the CMB may be the best way to define “stationary” in our corner of the universe. Basically, if you move quickly then the light from in front of you becomes bluer (hotter), and the light from behind you gets redder (colder). Being stationary with respect to the CMB means that the “color” of the CMB is the same in every direction or more accurately (since it’s well below the visual spectrum) the temperature of the CMB is the same in every direction (on average).