I agree, the new 28-105mm probably is the most sensible choice as first lens for the K-1. From what I read it's much better than most "kit zoom" sold with other cameras/brands.
Good image quality and wide focal range are exactly what you need, if you already have a K-1 and have to do, at least initially, with one lens only.
The focals that will be used to photograph the baby are all there, and the few times the OP will feel the need for a longer focal... the sensor of the K-1 is good enough to allow for plenty of cropping
What leaves me cold is the max aperture. While good high-ISO performance allows to use slow consumer zooms with low levels of illumination, only large apertures would isolate the subject from the background.
The capability to blur the background would come very handy, if the subject is a little child.
If the OP decided to start his photographic journey with a first-class camera like the K-1, probably he could afford to start with two lenses, instead of just one.
The kind of choices originally submitted by the OP suggest that he's already well aware that a fast lens is the way to go for portraits.
Other users already explained that focals around 50mm are better used for ambient/group portraits on full frame.
Unfortunately the AF lenses that were suggested are quite expensive. A second hand 77mm sells for about the same price it was sold new, just some time ago. I'm not sure a newcomer should necessarily use an AF lens. Why not a nice portrait objective like the Samyang 85mm or the newer 135mm?
The former is also easily available second hand in pristine condition for less than 250 bucks. The latter is a hell of a lens, and would expand the range of available focals.
Cheers
Paolo