I have three with one on the way. It’s a constant struggle to keep the place livable. Before I had children I was not a neat person and kept things livable by not doing things that made mess and staying out as much as possible. Can’t do that with kids, so what’s the trick?
Learn to redefine “clean”. You’re not living in a museum. Things don’t need to be pristine and dust free.
I picked a day of the week, in my case Saturday, and chose one area of the house to concentrate on. Dishes, laundry, and any other “infinite work” chores can become overwhelming quickly if they’re not kept up on, so there are frequently days where that’s the only house work that gets done.
The unpopular truth here is that if you value cleanliness enough for this to bother you, you probably should have considered this well before your third kid. Just do yourself a favor and never, ever resent your kids for their messes. I hope you find a way that works for you and maximizes your relationships with your children!