Look at Ruger as well...
IMHO, S&W does make a better quality revolver then Taurus, that is NOT sayng the Taurus is a BAD firearm. Its like comparing a Lexus to a Toyota basically the same car with a few subtle differences.
The Taurus revolvers I have fired have been solid guns and good shooters, I have never owned one so I cannot speak for their reliability. I'm sure the Taurus owners will speak up shortly.
Another brand to consider is Ruger, particularly the GP100 (which I do own). They are built like tanks and won't drain your wallet the way a S&W will. I also own a S&W Model 60 in .38sp. GREAT shooter and something else for you to consider.
I would suggest getting a .357 revolver with a 3" or 4" barrel. With a .357, you can shoot both .38sp AND .357 shells out of them. Being able to shoot the .38's is awesome because it is cheaper to practice with .38's, and easier to learn how to shoot properly because of the mild recoil. If you are planning on doing any small game hunting 6" barrel might suit you better. I have the 6" GP100 and it is a great all around gun, I am 6'3" 225lbs so I do not mind the extra weight of the 6" barrel.
Once you get comfortable with the .38's, load up some .357's and let the big dog eat!
Just my .02...hope it helps!