The only hard part during newborn days is having to get used to baby feeding every 1-3 hours (lack of sleep) or breastfeeding/pumping. Other than that, newborns generally are quite easy to take care of. They just eat sleep poop.
My husband is working night shifts too. All I can say is sleep when your baby sleeps, really. In the noon, if possible, ask for help. Don’t do everything alone. Don’t overtired yourself.