Standard house paint and oil base paints are a hazard to babies. You should use 0-voc paints and finishes to avoid the gasses and smells associated with painting.
Check out these articles for more information;
* <a href="https://www.house-painting-info.com/no-voc-paint.html">No VOC Paints</a>
* <a href="https://www.house-painting-info.com/baby-nursery-paint-ideas.html">Baby Nursery Paint Ideas</a>