Congratulations on becoming a great grandma. What a blessing in your life.
I am doing a quilt from a Jenny Doan tutorial at MSQC. It is the Binding Tool Star Quilt. It is made from a jelly roll (or can cut your own) and a yard of background fabric and the binding tool. It goes together very quickly, easily and looks like you spent a lot of time making it when you didn't. Since it only makes about a 32 inch or so quilt as is, I am adding some additional borders and it looks so cute. So you can make it crib size or a throw size.
Good Luck with whatever you choose and ENJOY THAT NEW ADDITION TO YOUR FAMILY!!!!