okay, i re-read your post and understand it better now. I assume you meant to say you already applied for H1 and would start working on H1 from september and also file for AOS in september. In this case, you have nothing to worry. You can work on H1 till you get your GC or decide to switch to using an EAD. You are lucky because if this is a new H1, you have a lot of time to be in status even if your family based GC takes longer. I dont think you would even need an EAD (unless ofcourse you wish to have freedom to work for whoever you like) or an AP (you would need this only if you switch over to using EAD)
Hope this helps.
Good Luck!
Hope this helps.
Good Luck!