The cylinder on the N-frame is both thicker and more massive than the cylinder on the K-frame.
This is good for handling heavy loads, as it is stronger and has more inertia against recoil.
This is bad for carry, as it is bulkier and heavier.
Of course, these points have been addressed, and you are looking at a house and range gun.
Feel and fit have also been addressed. I'd caveat that, though - the grip frame on the N is slightly larger, so if you have small hands you can only get so small with the N-frame grips before the K-frame gets an advantage. OTOH, you can easily get oversize aftermarket grips for either, so if you have average or larger hands, I wouldn't rule out either gun based on grip feel.
The K-frame is likely to have a nicer DA trigger, all things being equal, as the N has that bigger, heavier cylinder. Given similar trigger pull lengths, the N trigger has to push the hand farther, and against more mass, so it will have a heavier pull. (It should be smooth, but it should also be heavier.)
I've heard from a couple long-time owners that extensive DA shooting tends to wear out the small parts on the N's, eventually, due to their higher work-load. I have not worn out either of my N-frame triggers yet, but they are .44s and their round counts may not ever get all that high.
So, my take on it would be I'd go with the 28 if I thought I'd use the gun for hunting, as it can comfortably handle loads that would be painful, and possibly questionable, in the 19.
I'd go with the 19 if I thought I'd be likely to carry it, or if I wanted to do a lot of DA shooting. It is not recommended to use 110gr or really hot 125gr .357 Magnums in the K-frames, due to the thinner wall of the forcing cone at the bottom, right above the frame window; there were some problems with forcing cone cracking using really hot loads with light bullets. However, a lot of K-frame owners will (truthfully) tell you they've shot lots and lots of 125 with no problem at all. So, while I personally prefer 158s in my 13 and 65s, and typically load them with hot .38 158s, I wouldn't worry too much about shooting normal 125 .357s from any of them.
Of course, hot magnums and K-frames aren't the most comfortable pairing... so again if I wanted to shoot a lot of hot loaded magnums, I'd go with the 28.
Merry Christmas,
M
Edit: PS, I personally find that K-frames point and balance better than virtually any other handgun ever made. And I have .44's for hunting and woodland use... so I'd go with the 19 on this one. YMMV.