I'm gonna go against the recent grain and advise you NOT to start with a .22 if you have basic handgun skills and can afford the more-expensive ammo. Why?
My wife started off with a nice little .22 Beretta Neos. It fit her like a glove and she got pretty good with it. She then decided to move up, and went to a G22C. She struggled for a long time because she became accustomed to the extremely light recoil of the .22 and the smaller-than-average grip of the Neos. She's a great shot with the Glock now, but in her words, "I should have started with this gun right off the bat".
I put the experiment to the test with my 14 year old daughter, who skipped the whole .22 thing and moved directly to 9mm. With proper guidance, she was shooting really good groups and safely handling the gun within a couple of range trips.
Just MHO.
Paul