It's distance between any two points, however the distance measuring techniques to which we have access can only be performed by astronomers on Earth. Hence, one of those points will be Earth.
Right. A common analogy is the dough for a loaf of raisin bread. Consider the raisins on the surface of the dough. Pick one raisin to be your point of view (analogous to Earth, in this case). If the dough rises and expands from (say) 50 cm to 100 cm in diameter, another raisin adjacent the "Earth" raisin won't move very much, but the distance to a raisin at the diametrically opposed point will increase from about 78 cm to about 157 cm. The distant raisin will thus appear to be moving at a higher velocity than the adjacent raisin.
I feel like that analogy should be included anytime someone mentions that things further away from us are moving away faster than things not as far away.
My intuition of 'things far away moving away faster' causes me to conclude that things far away are therefore accelerating, because the more they move away the faster they move away, but my intuition is probably wrong as it doesn't line up with the raisin bread analogy.
