Arguing about chores and housework every damn week

I feel like my husband and I are constantly bickering about housework all week, but we just came to a massive blow argument this afternoon, which isn't like us at all, we rarely have big arguments. I'm a SAHM, I tidy as I go and keep a relatively clean home. Everything is in its place, everything gets wiped down, the dishes are done and the laundry is done, the meals are prepped and cooked and cleaned up afterwards. However my husband is SO fucking nit-picky about everything, and he needs the house to be deep-cleaned every few days. He will do it, he doesn't ask me to, but he will sigh and moan the whole time and say that it should have been done through the week. He says he's tired of having to tidy the whole house every weekend. I really need to stress that our house *is* tidy. But tidy to him means wiping bloody skirtings, washing the dining chairs (????) mad things that realistically I'd do once on a blue moon because I don't have the time nor do I care. But he cares. He cares SO much about how we present ourselves and what our house looks like for anyone who might see. Especially his damn parents, it's like he's forever trying to prove something to them, but that's a whole different issue. My problem is he is completely blind to everything I do on a day-to-day, like the 5 times I've had to clean food off the floor, the unloading and reloading the dishwasher with a baby swinging off my legs, buying, preparing and cooking every single one of our meals, driving back and forth from baby classes, organising and tidying toys every night, the 15 minute tidying spree I do when baby naps before I then get my shower and actually eat something for the first time that day. I don't think he understands that I'm not home all day to just clean and that I have other tasks to do that don't involve cleaning. It's like he expects every minute I'm not tending to baby cleaning and tidying. It's actually impossible. And it would NEVER be to his standard either, even if I did tidy 24/7. If we're both doing a clean, like we were today, he will redo bits I've just done. It's infuriating. I left a singular breadcrum on the countertop after wiping everything down and he redid them all. It drives me mad. He also didn't spend any time with baby at all today, because he spend an hour mopping every crevice of the kitchen and dining room, then when I asked if he could watch baby so I could hang the laundry to dry, he said he would, but then as soon as I went upstairs I could hear baby fall over and cry, I went down and my husband hadn't been watching him because he was back in the kitchen wiping down the cabinet doors?? It's genuinely concerning me but it's also driving me insane. I can't relax every day unless the house is spotless, which is never is because we actually live in our home, but it's like he can't accept that a family home would look even a little bit lived in.