Increasing prices on a Member Org on FY Changeover

We are looking to increase our level-first membership prices on Oct 1. I think I want to change the ranges of the current membership org so that renewals/history stays intact, vs. creating a new Member Org. The level info is staying the same. 

However, we have a month and a half of membership renewals happening before the FY ends, so the current org needs to remain. Does someone need to manually update the levels on the org on October 1? How do I manage this transition? Fun addition, I will be out of the office on parental leave during this time, so I'll need to enlist/train someone to make this change manually, if necessary.  

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