Every so often I come across a post that makes me SOOOO glad to be a single parent, and I think I've just seen one (or even several - but all the same poster). Not going to engage, because I think posters like that get some sort of weird kick out of coming onto a predominantly female site to tell the little wimmin how they should be doing things.
So, getting back to the subject in hand, in a marriage which is working, getting a cleaner can be a practical solution to different standards of what counts as a liveable in house. The problem here seems to be that OP's DH won't talk about the issue - just thinks he can live like a pig in a sty and if OP has a problem with that, well, it's her problem. Meanwhile OP is coming to hate him - not have occasional flashes of annoyance, but really hate him.
I remember a poster on another thread about this sort of thing - saying of her husband's habit of leaving coffee cups around the place rather than washing them up - it may sound like nothing, but 3 cups of coffee a day, that's over 100 mugs a year he expects me to tidy away for him... So she asked him, not to tidy up, but to say, every time he left a cup "fuck you, DW'sName, this is your job..." He finally got the message. He doesn't do it again.
OP, if your husband refuses to see that in leaving the house dirty for you to deal with, he is effectively saying "fuck you, OP'sName" every time he does this, and he refuses to consider a cleaner, and you (understandably) hate him for it, then you really are into LTB territory.