Hello there! First off, best wishes with the impending arrival of your little one! Fun!
In terms of must-have's for your newborn, I agree with Margerle that the bouncer seat was a life-saver. When our little guy was small, we simply swaddled him in a flannel blanket and strapped him in. He LOVED that crazy chair. (We picked one up at a local second-hand shop for very little money and cleaned it like crazy.) We used that thing all the time - when showering, when cooking dinner, when eating, when folding laundry - seriously, all the time.
In terms of don't-needs, we did not have a lot of toys when he was newborn because there just wasn't much interaction. (And, why clutter up the house?) When he got a bit older (3 months?) and started reacting, we introduced just a few boldly colored soft toys that he could grasp and hug. He loved those.
Not certain your position on babywearing, but I found a sling quite handy. When he was little (1 month old) it was great because he could just nap while snuggled up to me and feel safe and secure at all times. It also made outings (to the store, to take a walk, etc.) so much easier than lugging that giant car-seat bucket around. Just my two cents.
Take care and good thoughts are sent your way for your delivery!