Congratulations :)
There is lots people can do to help. If you have anyone else around like a mum or sister it's worth getting them to come round lots too, or stay for long periods of time if they can, to help you and your partner, or (particularly) for when your partner's paternity leave ends. As time went on, me and my boyfriend used to split the night, so he would stay up with baby if needed till 2/3am (just waking me for feeds) and I would take the lead from 3am till the morning.
Extra beds are helpful, or making your bed bigger if you can (mattresses on the floor, cot attached to the bed). We all slept together, with baby on my side,and it was cuddly and lovely, it helped that boyfriend was a deep sleeper. Sometimes I would go and get a few hours sleep in the other room.
It's not true that a partner has to take over the night feeds to be helpful either. Babies don't only need feeding in the night, they need cuddling, rocking, nappy changing, etc, and someone else can do all this even if you are breastfeeding. Some nights my mum would sleep with the baby in another room and just bring her to me every couple of hours for a feed and take her straight back afterwards to wind, settle, cuddle back to sleep. I was very well rested with this and got lots of strength back.
If you are breastfeeding it's great if you can learn to do it lying down; you can then make your bed a safe co-sleeping space and both doze through it. But trying new positions can be tricky at first so you may just need to be propped up with lots of pillows initially.
Day time naps when baby sleeps or when someone else is holding baby are good. Eat and drink plenty :) Even if you're not sleeping, babies mostly just want to be held so if you're shattered cuddle up on the sofa together with good films or books.
I also found I slept better whilst breastfeeding than I had in years despite the regular interruptions - it's a natural sedative for you and baby - don't know if everyone experiences that. I was a terrible insomniac until I had a baby, now I sleep really well. My experience was that sleep with a newborn was MUCH better than sleep when heavily pregnant! Going back to work with a baby - now that's another story - but mat leave is great 
Oh and babies do sleep sometimes, so you never know! Mine was a fantastic sleeper between months 2 and 4… 10 hours straight a night, I started jogging in the mornings I felt so great! (It didn't last, the running or the good sleep, but it was a good time
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