It sounds like either way, it comes out of your budget. For consistency, it would be nice if all units where handled the same way. You might call Local Unit Support and see what they suggest. But I'd also wait to see how aebrown handles phone bills. That might go though FM, but then the FM budget would have to be adjusted to pay for that. So I don't know was a mass-transfer mid-year is going to fly.
Ages ago, when I was a ward clerk, the bill was sent to the ward and the stake would give us money to just cover the bill sans long-distance charges. That way the stake payed for the phone, but the ward payed for long distance.
Looking in clerksupport, all I find is one article
Help with Phone Service. It seems to point to a telecommunications audit, which might not be a bad idea.
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