My husband and I made a deal--I'd take care of all nighttime parenting within reason, and he'd do ALL the household chores. I mean, ALL of them--the laundry (including diaper laundry, because we cloth diaper), dishes, litter box, vacuuming, cleaning the bathroom, making the bed, grocery shopping, most of the cooking... I think I've done dishes three times in the last four months, and vacuumed once. I've cooked a little more often because I love to cook, but usually she wants to cluster nurse around dinner time.
It feels like a good deal now, though it didn't always. I mean, I'm nursing, so there's not much he can do when she wakes up in the night these days anyway. Now that she's 3 1/2 months old, she rolls over to my breast, nurses side-lying, and goes right back to sleep. She doesn't even cry like she did as a newborn--I just magically wake up right before she does, somehow. I don't even bother changing her diaper since she never poops during the night anymore. I'm still incredibly sleep-deprived, since I work full-time and she sometimes wakes up several times, but whatever--my husband works full-time, too.
It did NOT always feel like a great deal at first, though. In the first two months, night waking also involved hours of swaddling, shooshing, rocking, etc, and lots of poopy diaper changes. And I used to look over at my blissfully snoring husband and feel really cranky. But my husband took 11 weeks unpaid FMLA leave (I took 12), so at 7 am each day I'd hand her to him and go back to bed for a long nap.
Or try to, anyway... I'd wake him up at 7 am, and it would take him FOREVER to get himself hot coffee (which he couldn't drink near baby) and a shower and eat his breakfast... and then he'd take her around 8 or 8:30 by which time I'd probably need to nurse her again. But that's another story.