2 days old...bless! the best/easiest thing for baby photos is a nice large window without direct sun, it acts like a big softbox, try to get a nice big blanket or sheet a few feet away, and try adjusting the position of the baby to get a nice gentle light falling across their face
you can adjust the image in photoshop or similar to get the best out of a flat image by using levels and curves tools, a nice smooth s curve usually works
definately go for the detailed shots, especially while they're so little, my little boy is 3 months now, and he's definately had to get used to having a camera pointed at him, let me know if you need any more advice, am happy to help if i can
cheers
marcus