These are nice, but they honestly look more like snapshots. One thing that causes this is the use of your flash. Try to find a place with a lot of natural light pouring in, such as by a window or an open door, and take some shots without the flash.
Also, eliminate distractions such as the brightly colored blanket in #1. A shot like #1 would also be much more pleasing if it were cropped vertically so that the baby's head isn't dead center with all that open space on either side.
I love that you wanted to fill the frame with the baby's face, and cropping vertically or even at an angle will help you accomplish that even better. If you still want to crop horizontally, don't have baby in the very center.
Adorable baby, though. I love the eyes! Looking forward to seeing more...