So we went shopping for my .22 today. The Browning Buckmarks were nice, but the grips on the ones here were just too big and nobody had any with smaller grips. I am too impatient and too unsure of the end result to purchase grips separately, so we didn't go with the Buckmark. While we did see plenty of Rugers, the only Mark III I saw had a pretty large grip, also. I also handled a P22 and did not like how it felt or that the mag release is a lever at the bottom of the trigger guard. I may be female, but I also do not want to have to bake it for an hour to make sure it fires reliably!
Anyway, I ended up getting a Ruger SR22. I like Rugers, I like how it felt, and I liked the sights. It was light and my small hands fit around it well with a bit of room to spare, so I don't think my kids will have trouble with too wide a grip. I didn't play with the take down yet, but if it is too wonky for the kids, I can let them practice take down on my Sig Sauer .380, which comes apart very easily.
Thanks a bunch, all! After reading your recommendations and doing some research, I felt very confident going into the store and had a very good idea of what I wanted and what to check out. I handled several handguns before choosing the one I bought and I think you guys gave some great recommendations (except for the P22, I'm with the guys that didn't think much of that one; it just did not feel solid enough to me). We're still considering the Buckmark for a future purchase.
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Failure is the path of least persistence.
“People had more than they needed. We had no idea what was precious and what wasn't. We threw away things people kill each other for now.” ~Book of Eli