Standard - How do I move / organize multiple pages of a document at the same time?

Acobat does not provide any features for organizing pages beyond moving selections in the page panel.

However, you can write scripts to do all kinds of complex page organizing tasks.

Take a look at the page organizig tools here:

https://www.pdfscripting.com/public/Automation-Tool-Descriptions.cfm

Via the Pages panel on the left. You can use the mouse to click+drag over multiple pages to select them, or using the keyboard with Ctrl (to select individual pages) or Shift (to select a range). Then drag them to the desired location.