If hubby is off work and you're up all night with the babe, why the heck are you running the household?? What happens here is: I work through the night breastfeeding and settling, thus husband works through the morning. He gets up with babe at 5/6am, makes me coffee in bed, cooks breakie, while I get to catch up on sleep I missed last night. Any reason your hubs is not doing this? Can you sleep through the day when your babe does? Remember babies work on 24 hour sleep schedules (sadly) which don't fit in with "real life!" Let the house go to sh!t or better yet, let your husband clean it; remember terrible daytime tv was invented for sleep deprived parents and can you ask family or friends to prepare meals for you?
Much strength - geeze it's hard - but it WILL pass - it HAS to!