The model is 19; the -3 is a production series, and the -3's were made in the 1967 to 1977 timeframe. The models up to and including the -4 have the pinned barrel, and the cylinder is reamed with recesses for the cartridge shoulders. Those features are popular with collectors, and were eliminated from all S&W magnum revolvers around 1982. Yours has a 4" barrel, it measures from the front of the cylinder. They came with 2-1/2", 4", and 6" barrels, and could be blued or nickel plated.
Yours has a small spot at the muzzle of obvious holster wear, but if the rest of the gun has no major scratches from poor care, normal wear doesn't really detract from the value much. As said, this was a very popular model, and yours also has the Goncalo Alves (type of wood) target stocks, which by themselves are worth $100 in good condition. That gun would probably sell for anywhere from $750-$900 today, even more if it has the original box.
I also own a M19-3, and treasure it. Once you get the lock off, if you decide to shoot it, don't use high-velocity lightweight bullet loads like the 125 grain. Stick with 140 to 158 grain loads. I've never seen it, but reports abound that the lightweight bullets can crack the forcing cone; that's the first part of the barrel just in front of the cylinder. The medium K frame has a flat spot on the bottom of the cone, which makes it a bit thinner there. The large frame magnums don't have that. Most M19 shooters download their magnum rounds or shoot .38Spl. loads. I find a .38 Spl. +P to be a good round, but I tend to download my .357 loads so I can stay with the slightly longer .357 case, because I have other .357 revolvers.
I'm also a 1911 guy, too, I prefer it over any other semiauto pistol.