Congratulations on the new home and especially the baby!
I love decorating. To start I would put matching roman blinds on the entrance window and french doors. Then co-ordinating or matching full length panels on the sides of the eating nook window.
Overall it is scale that you will want to consider. You wouldn't want a huge sofa in your living room area, but something with small arms and not too deep. Also, the shapes of furniture should match the space. For example, if the eating nook is square, it would suit a square or round table, centred under the light fixture. If the space is rectangular it would suit a rectangular or oval table.