Spacetime is 4D array of points. It's like a movie file, but with 3D frames instead of 2D frames (pictures). Expansion of space means that coordinates of points in a frame changed to move away from us, to match movie (model) with reality.

An array of 4D points implies some sort of construct upon which the points exist. As far as I know, the that was the concept of "the ether" and that fell out of fashion long ago.

So again, how can you tell the difference between space expanding or two things actually just moving away from each other (to keep it to a very simple example of two bodies).

Ether now known as "physical vacuum". As I told you already, expansion of spacetime is the mathematical tool, like a shader in OpenGL.

Let me try to explain- galaxies moving would be like balls floating in a pool. The galaxies are moving across the water.

Space moving would be like balls placed on a bed sheet and the sheet expanding. The galaxies aren't moving- the sheet is.

What's actually happening is more like galaxies moving around on a sheet that's being pulled further at all sides.

How can you tell the difference?

things are moving away from other things the faster the farther away they are, uniformly across the universe. everything is moving away from everything, not just two particular points.

is there a difference if there isn't a difference?