>> Are they receding from us, or are we receding from them?
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>'Tis the same thing. The distance increases. Well, this entire topic of expansion is quite confusing; it seems that in a way, "space itself" is expanding. See this: http://en.wikipedia.org/wiki/Metric_expansion_of_space - the topic may be somewhat confusing though.
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>> If there is a Great Attractor (or whatever), then it implies that we are all moving in exactly the same direction ultimately. So we'd have to be receding from them in one direction, and they'd be receding from us in the other direction.
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>No, why? As I mentioned before, there is a general expansion. Without gravitational interactions, that expansion would be uniform. The gravitational interactions between galaxies, clusters, and some objects of yet-unknown composition like the Great Attractor will cause additional movements, superimposed on the general expansion. In other words, on average, galaxy clusters (that is, groups of galaxies) that are at a certain distance, will recede at a certain speed, but due to gravitational interactions with other galaxy clusters, some will recede slightly faster, or slightly slower, than the average.
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>Note: I mentioned the Great Attractor for comparison; the article in question was NOT about the Great Attractor. If what the article claims is true, then the Great Attractor would pale in comparison.

That's exactly what I'm trying to get at. Assuming the article is correct, then there is not general expansion. There is expansion in only one direction. That would mean that we and the rest of the universe are all heading to the same place. In that case, the furthest galaxies in that direction are moving faster than we are, but we are moving faster than those in the other direction. That's the only way I can think of that would make it appear that the universe is expanding in all directions.