I’m sure Silenus and UncleBill know much more about guns than I do. Thus I provide the novice’s perspective.
I’d try the Buckmark. It’s the only .22 they have. If cost is at all a concern, the .22 ammunition is likely to be cheaper. Also, it won’t tire out your hands and will be easier to keep accurate, since recoil will be less of a factor. Also, beginners (of which I am one) often will have accuracy problems based on anticipation or overcompensation for the recoil. If your goal here is to a) put some holes in a piece of paper and b) learn a little about shooting, the .22 is great.
If you have trouble hitting the target at all, don’t be embarassed to put it really close, like 10’ away. It’s distinctly possible that you’ll be missing in a particular direction, and from that you can figure out what you’re doing wrong. In fact, there are diagnostic targets that have quadrants labelled with the mistake you’re making…but it’s been way too long since I’ve been shooting to remember any of it.
The few things I remember distinctly are:
Focus on the front sight.
Unless you’re a robot the gun is going to wander over the target a bit. Try to minimize this, but otherwise don’t worry about it
Squeeze the trigger slowly. The idea is to have a “surprise break” meaning that you aren’t anticipating when the gun goes off, thus can’t flinch, twitch, etc.
Combining those two, when the sights are wandering over the target, don’t think “It’s over the bullseye, pull the trigger now!” That leads to horribly bad accuracy.
Don’t let any part of your hand stick up into the path of the slidey-part. Ouch.
That appears to be the sum total of my wisdom on the matter.
Have fun!