Buy the Model 60, if in good condition. Pay about $450-500, at most $600.
The Model 37 is not meant for frequent firing, and may crack the frame if shot much and will recoil a lot more. Using Plus P ammo will wear the alloy frame sooner. S&W does not warranty their light alloy frames for Plus P. (Except for a few recent ones.)
Unless you have a very good reason to the contrary, the Model 60 is THE best snub .38 and was the first handgun to be made in stainless steel, a vast advantage over blue and nickel guns.
Try to buy a Model 60-7, made in the early 1990's. It had internal changes to add endurance in the yoke area and is warranted for Plus P ammo, although that should be fired in moderation, not for routine range use.
Ignore the advice here to get an old flat latch gun. That older type of cylinder release appeals to collectors and nostalgia buffs, but the newer guns have better metallurgy.
The Model 60 has a conventional hammer that can be cocked for more precise shooting. Avoid the double-action only models, like the Centennial. They are useful only at very close range. A novice like you clearly are needs to learn SA fire first, anyway.
The aluminum framed guns are useful solely because of their light weight for pocket or purse carry. Use an inside waistband holster or conventional belt holster when possible. A Model 37 or 38 is a specialty item, for occasional use when the gun has to be pocketed. It's NOT a good basic snub .38.
