I have an archive board setup, where archived cards from multiple boards get moved.
This board creates a new list at the start of each month that cards archived that month get moved into.
When it creates the list you can automate it copying an existing dashcard into a named list, but you can't ask it to copy into the next list along.
When creating a rule, you can set it to move a card to the next or previous list, but it appears that isn't an option when a date is triggering the action:
Option on setting a rule:

vs Setting a calendar trigger on the 1st of each month.

I hope it's clear what I'm trying to do!
Thanks,
Andy