The club might have a variety of ranges for shooting, but what glycerine is getting at is the range you joined, does it have organized shooting (for example a bullseye league) that you want to try, or do you want to shoot at targets alone at the range?
When general plinking, anything that goes bang, works. If you get into something specialized like ISSF, to be competitive might require more specialized pistols. To paraphase glycerine, you can shoot a single shot all day long on your own and have fun but won't get too far in a bullseye league (where the course of fire is simply too fast for a single shot to be effective). Conversely, a bullseye gun is perfectly acceptable to plink with, but you might be spending a ton of money where a $200-$300 gun would make you just as happy.
Note when you are talking a S&W41 in one breath and a S&W22A in another, you are going from a Cadillac to a Geo. Both are perfectly acceptable and shoot well, but given only those two pistols you would likely pick the 22A for everyday eat everything plinking, and the 41 for precise target work.
Don't be shy with the range info. Chances are there is someone from the range on here, can let you know what activities are available, and might even offer to take you along to try one of the pistols you are interested in (or if you ask nicely).
YMMV