Success!.... I think....

Woke up for slopping the hogs around 5, deleted all the music on my phone.  Still not enough room for the iOS 7 install.

Deleted a bunch of pictures that had already been Clouded. That was enough. Started the download and went back to sleep.

Woke again to the new white-background iWorld. Went to sync to get everything back. Found they've moved podcasts to a separate app. Downloaded it.

Started the sync. With the extra app and the extra 7 bits, I needed to purge some tunes. Did.

Then noticed a butt-ton of old podcasts, not specified for sync, had downloaded themselves and were clogging the series of tubes.  Apparently, the Podcasts app is factory-set to "download every available podcast on your list whether you want it to or not."

Fixed that. Found sudden amounts of room.

Got all wanted music on, plus OneDrive, which will, hopefully, make this easier next time.

Which, apparently, will be in like a week, because now that I've finally conquered iOS 7, they've gone and come out with iOS 8.

Just iShoot me now.