"How on earth do I navigate these things?"
He seems to think he's entitled to have things a certain way and is giving you feedback as though you were the au pair or cleaner who can always do a bit better as long as they're taught how to.
If he wants things a certain way, he can pay for a cleaner to come in after you leave for work, imo.
You shouldn't be on tenterhooks because things aren't the way he likes them.
I've lost my shit with my OH leaving crap all over the place on many occasions (clutter makes me uncomfortable, anxious, and unable to focus), but the way in which he's patronisingly feeding back to you, is, I think, what's causing you to feel uncomfortable.
I'm quite a bit more blunt. "You've just walked all the way over here to put that cup there, would it kill you to bend over and put it in the dishwasher?" Or "yeah I had to rewash all the pans this morning because they were still greasy."
My OH has been diagnosed with ADHD though, so he really can't remember most of these basics most of the time.
will not take ‘constructive critism’ as he is trying to better my life
No he's not, he's trying to better his life.
Did he grow up in an exceptionally clean household?
I did, and I can tell you it's a royal PITA being an adult and trying to force yourself to live with the mess.
Even so, you're not his au pair.
And fuck running around like a headless chicken for 1.5 hours every night. If he wants a spotless house, he can cut his hours and make it so. Even in my exceptionally clean household growing up, the bulk of the housework was done on a Saturday by all of us, not by mum and/or dad every single night.