It seems that nearly everyone that asks for recommendations for a first handgun seldom like, much less follow, the sage advice offered, but I"ll give it a go anyway.
The best first handgun is a .22
The most versatile handgun is a 4" .357 revolver. You may already know that any .357 revolver can also shoot .38 special. This allows the shooter to go from sedate paper punching loads throwing a 148 grain wadcutter @ 700 feet per second (fps) all the way to a black bear stopper load launching a 180 grain JHP @ 1200 fps and everything in between.
The best defensive handguns is......well, there are quite a few that would fit here, but in a semi-auto, the best caliber is 9mm for a beginner.
For $1200, I'd buy at least two handguns, one being a .22
Suitable .22's would include the Browning Buckmark and various incarnations of the Ruger .22 auto. A .22 revolver would be nice, but they generally cost more than a .22 semi-auto. You can find a new .22 for $300 or so without looking too hard. This leaves $900 for the second gun.
Since concealment isn't that much of an issue for you now, you could consider a 6" barreled .357. Buy a shoulder rig to conceal it on the rare occasion you'll want to. You can use the holster while hunting, also. The 4" barreled version would be easier to carry, but harder to shoot well due to a reduced sight radius. Not a big problem, really, it just requires more practice. Which would you do more, carry it or hunt with it? I'd select the barrel length based on that answer.
Suitable choices would be a Ruger GP-100 or a S&W 686. These can be found for $500 or so and are pretty much ready to go from the box.
That leaves you $400
You can either buy a more dedicated concealed carry piece like a S&W 442 for $350, or you can use the $400 to buy holsters and ammo and maybe a lesson or two. Being skilled with a long gun is one thing, but that doesn't mean it'll translate over to handgun shooting. Aside from the sight picture, it's a totally different dynamic.