Changing job on H1, how to file h4 and h4 EAD for my spouse for faster processing


I am changing my employer with whom I have approved H1 until mid 2024. My spouse H4 and H4 EAD is under process both of them were file before May 17th (the day biomeric exemption rule came for H4). My question is should I ask my new employer to file H4 and H4 EAD at the same time along with my new H1 application?
if My H1 will get file under premiun, will there be good chance to get H4 and H4 EAD approve along with my H1?

or should I let H4 EAD application to continue and once I get new h4 receipt number, I will update that to H4 EAD application along with my new h1 details…