You've had some great suggestions in here. What are bub's day feeds like? I used to offer a feed 3 hourly, and found that helped bub sleep a bit longer at nights.

Some other ideas for saving your sleep (especially while your dh is home!) would be to get him to get up for nights, do the nappy change and bring bub to you, and then put bub back afterwards (he can snooze while you feed, just keep the pillows/blankets clear in case you fall asleep while feeding) - do you ever feed lying down?
Or if you can express a bit after each day feed, you might have enough for dh to do one of the night feeds while you sleep. xo

Hang in there!