I have found that a revolver is less trouble in the long run than a semi-auto pistol. A huge benefit is it's ability to fire all sorts - and mixed sorts - of .22 ammunition. If you can load it . . . . you can fire it. No magazine issues, no dirty chamber issues, no strong/weak slide spring issues, etc. I have 2 S&W handguns ( a Model 41 semi & a Model 617 revolver). Guess which one never fails me? They are both superb functioning firearms, but the 41 is higher maintenance and is picky on ammunition.
Having said that, the semi-auto is a better choice (for me) if I am shooting quickly (e.g. Timed or Rapid fire Bullseye targets). My Double-Action scores with the revolver are not as high as with the smoother trigger pulls on the semi.
You don't elaborate on the type of shooting that you plan to do (e.g. non-competitive target, Olympic competitive, informal range 'plinking', etc.), nor the time or cost that you intend to expend in shooting. But, when you do decide to buy, remember that you get what you pay for.
As recommended by Blastattck above, the Ruger MK II/III line of handguns has withstood the test of time, and they are good bang-for-your-bucks.