Hi Adam! Congratulations on the new baby! 

I can see why you are confused about what to get each of the women in your life!

All Moms have one thing in common, famous or not, they seldom get any time to themselves.  

For a start, let your wife sleep in. She'll love having the extra sleep! Breakfast in bed is your next task, and do something to make it a little special like putting a single flower on her tray. Forget roses; choose something bright and positive like a Gerbera to make her smile. 
Later on in the day organize for her to have a massage with someone who specializes in new mothers. This is a gift worth its weight in gold. She'll love you for it!

My experience of mothers is that they like to have entertaining company. Depending on the relationship you all have with each other you could take them all out to lunch together or you could organize your wife seeing her mom and you seeing yours separately or on separate days. The gift of time is more important than anything you can buy, but sometimes a present is nice too! 

Good luck with it all!