Ultrastar
Depending upon the exact use you have in mind you may want to check out K-frame (and equivelent) snubs as well as the small J-frame (and equivelent) snubs. A small framed snub really pounds the shooter's hand and it may be the toughest gun to get good with. For a first revolver something bigger would be much more versitile.
A 2", 2 1/2" or 3" K (medium) frame revolver would handle MOST J (small) frame missions, it holds more rounds (in .38 or .357 the J-frame holds 5 rounds and the K-frame holds 6), it is easier to shoot accurately, it is far more comfortable and it is still very concealable. For OWB or IWB carry it is probably the ideal size. If you want a pocket gun the K-frame will be much too big for most people however.
My S&W 65LS, a 3" K-frame, is a great gun. Very accurate, very comfortable to shoot, comfortable in an IWB holster and with the right holster and in the right pants (I am a bit big however) I may be able to carry it in a pocket. Of course I doubt if that would be very comfortable. Also, the Ladysmith (LS) models with their matte stainless finish and nice rosewood grips are some of the best looking guns out there (though Ladysmith models can also be found in the J-frame guns, the S&W 60LS is especially nice).
Just one more thing to think about (like you really need that at this point).