Does your DH have paternity leave?
I stayed in bed for a couple of days with DC3 and left OH and the older 2 to it (it was carnage at times but it worked), DS was in a bed side crib and the midwives were happy to come upstairs when they visited.
As others have said, don't iron! and tumble dry everything that you can. The other things that save my sanity are:
Ocardo on demand (they price match tesco now), every week, at the same time I know that nappies, wet wipes etc will arrive.
Batch cooking in a slow cooker, I freeze child size portions of food.
Tins of chopped and fried onions and ready made fresh mash (war can break out in this house in the time it takes to peel and onion!)
I buy chicken breast from the butchers and he cuts it up for me, that can go straight in the slow cooker with a tin of onions and a bag of casserole veg and some stock and even on a bad day we have a nice meal.
Same as Kentucky, I use a sling, I had an ergo because I like buckles but there are loads to choose from that let you carry you DC right until they walk everywhere. DS spent most of the time in a baby grows which made life a lot easier, I had stacks of the things so it didn't matter if I couldn't get the washing done before the weekend. Same with my clothes, I used to pile up 5 days worth of clothes on a Sunday evening.
I encourage them to play on their own too, sometimes when it all gets too much (usually when I am trying to cook a meal) I separate them, there are toys in the bedroom that they like to play with on their own.
Good luck.