The .357/.38 Ruger SP-101 is a fine choice for carry and frequent practice.
I also like the S&W steel J-frame models 36 and 60. The older ones are for .38 Special only and are a bit smaller and lighter than the current steel J-frames, which are .357/.38. Both the older and newer Smiths are lighter than the SP-101 and are considered a bit more refined.
Now I'll throw this out there from left field. Consider an 8-shot .22lr as your first revolver. Ruger makes the 4.2" SP-101 in .22lr, and S&W makes the 3" stainless steel Model 63 and the very lightweight Model 317, available with 2" or 3" barrel.
With a .22, you could certainly afford to practice a lot, and the low recoil means you can concentrate on sight picture, trigger control, breathing, etc without developing a flinch or hurting your hands, which can happen when shooting a lot of .357 magnums.
A .22, while certainly not ideal for concealed carry, can be quite effective. 8 shots of high velocity hollow points, in the hands of someone who practices every week? I'd rather go up against the guy with the .357 who shoots 50 rounds a year. He will likely miss me, but the guy with the .22 who shoots 5000 rounds a year sure won't.