I honestly think that you would be better served by a .38 Special in your situation. I already "piggy backed," since I forgot there were about three similar threads going on right now. Most of what I was talking about does NOT really apply in a snubby. I will be honest and say that there are a lot of factors involved here. For most people using jackted factory ammo, it's a bit of a moot point even in a larger frame.
In your situation, what I would really advise is buying a used mid-sized .38 Special (like a K-frame S&W or Ruger equivalents) to learn on. These can be found in the $100-$250 range depending on your region, their condition, etc. Then you can decide what you want next: a .357 snubbie, a .357 L-frame, a really nice .38 Special target revolver, etc., etc., etc. Then you have TWO guns that will shoot .38 Special when you want it. Or you can sell that .38 for exactly what you paid (maybe a little more if you got an exceptionally good deal). That is another advantage to the used revovler market these days.
Accuracy: A .357 Magnum revovler is capable of shooting .38 Special and .38 +P. To my mind the key word is capable. The fixed sights are generally set up for a 158gr Magnum loading. Accuracy is generally good, but there are some built-in limitations.
As vulcan noted:
"The shorter .38 hits the shoulder during its passage out of the cylinder. This can shave lead or slightly deform the bullet resulting in larger groups. However this is not a great consideration at the ranges the snubbies are designed for."
At first, people love the .38 in a heavy framed, long barreled .357. It has virtualy no felt recoil with decent grips. Eventually, you will get frustrated with .38 Special in particular, because it will limit your potential skill. It has too many obstacles to overcome for best accuracy. The shorter .38 also has a much longer run at the forcing cone. With a +P load, this is somewhat minimized. It does no lend itself to great accuracy with softer lead bullets in either configuration.
Vulcan was correct about snubbies. As far as they go, it is almost irrelevant, because the short barrel probably limits the potential of the hangun more than any other factor (except the shooter).
Short answer: I was actually arguing in favor of BOTH. Not really one over the other. You could EASILY buy two top quality used revovlers for what new .357s cost. If all you want to do for now is shoot .38, you are better served by a .38. You would be paying for a "feature" you are not really using, if nothing else. I have shot revolvers most of my life, but they have been the same 10 or so in the immediate family. Others may have very different experiences with .38 in a .357. I would not pay extra for the .357 if I was never going to shoot .357 Magnum.