I saw Daryll (Darrell?) Hall of Hall & Oates playing a weird 4 string guitar 20 years ago. It took a few years to find out it was a tenor guitar. They have now once again become popular, especially along country and folk musicians to play.
I have bought an inexpensive Folk Of The Wood brand one to play, and since it's CDGA tuning did not lend itself to what I play, I changed it to Chicago tuining (DGBE) by using the top strings from an acoustic guitar set.
The guitar has been fun to play and raises eyebrows when I go to acoustic music jams, and makes a nice doubling instrument to a standard guitar when recording.
Have fun with your new baby.
www.tenorguitar.com