I'll disagree with one of the posters above and state that a model 36 is a near perfect revolver for IWB carry.
Larger semi-auto pistols with more capacity are the current fad in concealed carry, but they come with some sharp down sides. I've carried Hi Powers, a 3" 1911, a CZ 75 Compact and a few variants of PP and PPK/S as well as their FEG counterparts, pretty much covering most of the bases from full size to compact sized pistols, and a S&W Model 36 or a Model 60 with anywhere from a 1 7/8" to 3" barrel will carry far more comfortably than any semi -auto.
The thing is that a revolver is only thick around the cylinder, where a semi-auto is thicker on average through the entire grip, frame and slide. The edges and corners also tend to be a sharper and less comfortable. It makes the two harder to compare without actually wearing them, as a 2.125" J frame is almost as large if you look at overall length, width and height as a Browning Hi Power, but it is significantly lighter, much less bulky and far more comfortable to carry. And that's really the key trait as a self defense handgun you left home or left in a drawer across the room at home is basically useless. You're far better served by a handgun that you can comfortably wear all day long, to the point you don't notice it, as if you don't notice it, you won't be tempted to take it off.
I'm also not a fan of pocket carry as in general pockets are not well designed to carry the weight of a handgun, even in a well designed pocket holder - and thus the temptation is to go lighter and lighter with the handgun. That also has a sharp downside as lightweight handguns are less pleasant to shoot, particularly with a meaningful self defense round.
I do have a few pocket holsters, but I use them to carry a backup handgun, primarily when I'm with someone who shoots but does not conceal carry. Worst comes to worst, I can hand it off safely inside the holster and let him or her lead the way while I cover our disengagement from the situation.
If you carry inside your waist band, the pistol can be well supported by a good holster and a proper gun belt. Plus, it will be in position to be drawn effectively in almost any situation, and will stay secure when running, etc.
Drawing from a pocket holster can also be a significant problem when sitting down at a table for example, while a handgun in an IWB holster on your hip is still easy to draw and put into use.
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This is pretty much my everyday carry (minus my cell phone), and if it's not dark out the light stays home or in the car.
The holster is a Covert Carry from Wild Bill's Concealment. The offset clip is nice as it keeps the profile much thinner relative to a more conventional leather IWB holster, and it helps hold the butt in snug against your body.
Wild Bill's Concealment also makes the speed loader pouches. They allow you to slide either 2 or 3 rounds over your belt, reducing the profile of the unit on your belt.
Another advantage of a holster with a clip is that the firearm and holster can be removed from your waist belt as a unit, and they can be inserted into your waist belt as a unit, ensuring the trigger stays fully protected during those evolutions.
The Covert Carry also uses two thicknesses of leather around the mouth sandwiching a polymer strip, which will keep the holster open in your waistband after the revolver is removed, enabling you to re-holster it easily and directly if you prefer that approach.
The holster below is a more traditional approach to an IWB holster, but it is much thicker, less comfortable and less concealable. It does however incorporate a double thickness of leather and an insert to keep the mouth open, which is a critical feature to have on a holster that attaches via loops around the belt as removing and inserting it as a unit it is a bit more difficult.
Whether you have a standard J-frame like the Model 36 (bottom), a J-Magnum frame revolver in .38 Special (middle), or a J-Magnum frame revolver in .357 Magnum (top), you'll want to be aware that 1 7/8" and 2 1/8" ballistics are not all that inspiring with standard pressure .38 Special loads. You need a well designed hollow point at .38 Special +P velocities to get an acceptable level of terminal ballistic performance.
A .38 Special +P load in 2" revolver will get you on par with a standard pressure .38 Special load in a 4" revolver. Similarly, the .357 Magnum is not all that efficient in a 2" barrel so you'll want to focus on a load designed for short barrel performance and then plan on around 1200 fps for a 125 gr bullet - about 150-200 fps faster than a .38 + P load in the same barrel length.