Just know that, just because you are the dad, you can do nothing right in the first weeks. This isn’t as bad as it seems, mum will be confused, exhausted and overwhelmed too, she still loves you.
Accept offers of help, don’t be too proud. Grandparents will treat that baby like the most precious thing in the world, let them help.
you’re going to be tired beyond endurance, because even if they don’t wake up for feeds, you will need to go check they’re ok!
You will be filled with the most amazing love for her but if she goes out into the world an independent and happy girl you will have done a great job.