Is there a way to delete, move, and resize district labels? I'd like to be able to incorporate them with the export, but they're too finicky atm.

This is what you can do with district labels:

• You can hide all of them at once (Style > Elements > Districts Hidden). You can't hide individual labels, but you can rename a district to a space character(s) effectively hiding its label.
• You can't move district labels, but you can change the shape of districts (using the Warp tool) to achieve better label placement.
• You can resize district labels using two separate parameters: Style > Elements > Font size and Style > Text > Labels.