I was married 7/26 & spouse moved in. I have a minor child. Can I file HOH? MFS is more than MFJ when ran each way but HOH is more but not sure if I can do that?

We both make about the same annually. I’m aware that if we file separate, we must both either use the standard or both itemize. When entering as MFS, the software said I could file HOH but I’m hesitant and wanted to make sure especially since it would make such a difference. How should I file? It’s about $1500 more if I do separate but the return would be about $3500 more if I do HOH. I just want to make sure I do this right. How should I file?