The 19s have adjustable sights, and started out with pinned barrels and recessed cylinders. The 13s have always been more of a utility gun, an M&P. The 13s have the heavier barrel.
The 19s were available in 2 3/4", 3" (rare!), 4", and 6" tubes. The 4" and 6" are usually square butts; the others are round.
The 13s were available in 3" and 4" tubes, with round butts on the 3" and square on the 4".
You should consider buying Supica & Nahas' Standard Catalog of Smith & Wesson, a terrific book.