H4 COS from F1 and apply for EAD

Hi, I am on F1 OPT now and working in my field of study. My spouse is on H1 visa with I140 approved. I would like to apply for the H4 EAD in May when the H4 EAD is made available. Please help me understand if I can apply for my H4 COS from F1 and the EAD together. Also can I continue to work until I get the H4 EAD with my F1 OPT?