It took my awhile to get it until somebody put it this way. The objects aren't exactly "moving" apart from each other, rather space in between them is expanding. So instead of thinking of it like a bunch of objects in a line being pulled away from each other, instead imagine it like a bunch of vector based objects random placed on an infinite canvas - now rather than moving the objects at all, try to imagine instead reducing the scale of all of the objects equally. Now of course this isn't perfect, as really what is happening is kind of the opposite, as the objects remain the same but the space between increases, but the relationship is the same here. So nothing is exactly "moving" in relative space, but everything is still expanding. Thus this expansion can happen infinitely without anything breaking the speed of light.