Splitting a 1 cut object into a two cut object

Hi! I didn't see this in search or any of the relevant threads.

Essentially I want to redo the vase of a specific plant and wanted to make the flowers a separate group so I don't loose the texturing/UVs from EAs work, though I am thinking about adding more flowers. 

How do I cut the file into three cuts (so the flowers would be Cut 1 or 2).

Thanks in advance, 

I can't wait to approach this project the right way!