When you quilt the layers, they shift. That is why you always have your batting and backing larger than the top. So, if you birth the quilt, you do not allow for this shifting. It can be done without the puckering, if done very carefully, with a great walking foot, and a whole lot of pinning and basting. Other than a crib size quilt, I wouldn't do it. If you have difficulty with binding, there is a third option. That is self-binding. Make your quilt in a regular way making sure your backing is at least 3" bigger on all sides. Once quilted, trim the batting to 1/2" larger than the top. Then double fold over the backing (might need to trim it a bit) to the front and machine sew it onto the front. I actually prefer to do this with all my baby quilts because it eliminates the ability of the child to chew off the bindings!