Maybe I will.

Do the people who run the comps have some shared place where they get the scores from each week or do each of them tally the scores on their own?

The shared place is this thread.

I have my own spreadsheet for the PL, but I don't think it would be much use to Barney, since it computes the home advantage, head-to-head scores, and then the standings based on three points for a win, one for a draw, etc. When I post the scores here, I suppose Barney could use them for reference, but he'd have to remove the home advantage points, which would require checking the original entries anyway, so I don't suppose it's worth the bother. For BoRed's Cup, I just use the scores Barney posts, so there's no need for any sharing. I'm assuming that the Community Shield, European Supercup and the Club World Cup games will count for the overall standings anyway, so you could do the same.