State tax filing

What if we are not "same-sex" partners. Also, I have a child that I would claim as my dependent. So, wouldn't that qualify me as a HoH? 

I could also claim my DP as a dependent as a "qualifying relative" as they meet the qualifications:
Income less than $4k
Lived with me whole year
I supported them for whole year. 

what's the correct way I should file?