If the color of the stain is appealing to you, some light sanding of the top coat will allow a new "varnish" to be applied. One of my favorites is Minwax wiping poly in a Satin sheen. It is what I used on these pine tables.
What exactly are you wanting to do? Do you need to strip the current finish so you can restain it or are you wanting to paint it? More information and a photo can always help. And congrats on the new baby.