I'm planning on answering all of your great photography questions, but wanted to do the photographing babies section done first.
Since so much of photography is seeing, I found a great little video to show you with Carrie Sandoval who is amazing with brand new babies.
She briefly discusses lighting, but I think sometimes that's the hardest to get right (well, that and trying to keep the baby from pooping all over you) Since I'm assuming you're photographing your baby indoors, you want to position your baby beside a window in your house that doesn't get direct light. Think of direct light as the kind a cat would want to nap in--super, super bright light. We don't want that kind. The most ideal window is a north-facing window, but any window that's getting nice, soft non-direct sunlight will work. Walk around your house and try noticing which windows get that yummy light throughout the day.
*shot by a non-direct light window in front of black fabric.
If the window is dirty, that's even better! The dirt will help diffuse the light and make it even softer. If all your windows have direct, harsh light you can always try hanging sheer curtain that are almost see-through. You can position your baby however you'd like (check out the video for some tips!) but make sure your subject is getting side light from the window and not direct light. The shadows on the other side of face gives it depth and makes it more interesting.
Check out Carrie's blog (as well as her Baby As Art blog) and video for great positioning ideas. I love to see some of your pictures after trying this out!