My LO was pretty good as a newborn, she would only wake once in the night & then it would be morning. She's a lot worse now at 4 month old, given that she is teething & has a cold, you can imagine what the nights are like at the moment, she's either waking for her dummy, because of her teeth, because she can't breathe or because she is hungry.
I was told to rest when she did but I'm not one to nap in the day, I would always sit down & relax at some point though & I now drink lots of coffee haha!
She's bottle fed so my partner can help out too. He takes over once he gets home from work so I can have a shower or relax a bit. He also does the weekend nights so I can get some sleep back but I'm pretty much used to it now.
I had a moses basket away from the bed as I found it easier to wake up if I got out of bed to see to her, I was always scared of falling asleep in the early days & I did a couple of times with her on my chest in my bed which scared the life out of me.
I would suggest having your partner do the last feed before bed & you going to bed before this to get a headstart, depending on when the last feed is. I didn't do this but a friend of mine did & I think it's a brilliant idea