one can simply look into the sky and follow the paths of the planets over time. It makes more sense that they orbit the Sun and the earth is one of the planets because once you assume heliocentrism, all of the movements of planets, moons, comets, and so on suddenly have a perfectly elliptical orbit. Otherwise, they make these unexplainable looping kinds of patterns.
Again you can observe it with your naked eye, and track it with a pen and paper, and work it out yourself if you don't trust the pics. But it would be tricky the same way as, lets say, spinning in a desk chair in one corner of room while simultaneously tracking the tip of a blade of a ceiling fan. (Not perfect analogy bc the center of the different spins is different, but makes the point.)
The reason we don't detect the earth moving per se, is the same reason a cup of coffee in your car can stay in the cup just fine while you are going 80 miles per hour.
might be a slide but i'll take the bait if it is because its worth being skeptical about. great minds puzzled over it for millenia. nothing wrong with a bit of distrust for the Mainstream Narrative.