Congratulations on becoming a new Mummy and Daddy :-)
I have an 11 month old and we were like you at the start.
My LO was up every 45mins-1hour all night for the first 6weeks or so and it was impossible for us both to cope when we were both up.
So we split it in nights abouts. One person would sleep in the living room with earplugs while the other was on baby duty in the bedroom. If it was a particularly bad night OH would usually swap get me at 3am so he could catch 4hours sleep before work and I was going to bed early so I'd had a good 6hours by that time and could grab a nap in the day.
A few things to help your little one sleep -
Cluster feed and dreamfeed - squeeze the last two feeds of the day in quickly so your LO goes to bed on a nice and full tummy. Then add another feed at 10.30/11 (who ever was on night duty did this so the other person could get an early night and a good 8-10hours if they wanted). So your LO could feed at -
7am, 10am, 1pm, 4pm, 6pm, 8pm then go in and dreamfeed at 11pm (pick LO up and feed in sleep, she might wake the first few nights but quickly baby will start to finish the bottle and go back in basket without falling asleep). My little one never took very well to cluser feeds so we kept them to 7am, 10am, 1pm, 4pm and 7pm with a 10.30ish dreamfeed.
Bedtime routine - at 7.30pm start to quieten things down, close the curtains, turn TVs off, a warm, quiet bath, cuddles and bottle. Don't change anything until it's well established.
To put LO down do a tight swaddle and buy something like a cheap air purifier (there's a Lloyds Pharmacy one that I use that can be found online for about £8) which will make just a bit of white noise to keep LO settled.
You can either choose to rock/cuddle baby to sleep or try to get baby to fall asleep on own. I prefer to let them fall asleep on own with the help of a dummy. I also used a Prince Lionheart Slumber Bear which was a godsend! It plays recorded womb noises and everytime LO cries or moves in the night it goes off for 5mins to settle LO back down. We bought it when LO was 3 or 4 weeks old and it was our best buy! We only got rid of it a couple of months ago. It takes a while to get used to sleeping through it but you will.
Use a blackout blind from bedtime to 6am too (not that you need to in these horrible mornings!) and if LO wakes use a teeny nightlight with no stimulation or interaction. Buy good nappies and only change if it's pooey!
With feeds I used to make in advance, chill in fridge and then transfer to a thermal bottle bag to keep cold overnight. I had a little bottle warmer I kept in the bedroom and I popped the bottle in it as soon as I heard LO stirring and by the time she woke fully the bottle was ready. All I did was pick her up, quickly feed her then tighten the swaddle and get her back down.
Hang in there xx