Laid Off , EAD Help!

I have a question regarding my wife H4 - EAD Extension.

Brief Summary of the situation :

  1. My employment was affected with the recent layoffs in Bay Area and I am in the process of looking for jobs both within my current organization (where I got laid off from) and outside as well. My employment last date is March 31, 2020 and after which I will have 2 more months from USCIS to find a job.
  2. My wife’s H4 EAD is eligible for renewal as her EAD card is set to expire on 07/31/2020. My wife recently started working on H4 EAD

In this condition how does it affect her H4 EAD extension:

  1. We are thinking of filling for her H4 EAD Extension this coming week so if we proceed with it and I change my employer and my H1B transfer process starts then what happens to her EAD renewal application?

  2. Should we file for her EAD extension now or should we wait for my employment to get settled because that will include H1-B transfer/amendment + fingerprinting for H-4 .

The goal is to have my work with her new employer without interruption due to processing times.

Please let me know your thoughts on this

Thank you