I rather like the Ruger Mark series pistols. Used to rent one at a local range. My first pistol is the Ruger Single Six convertible. Shoots .22 LR and .22 WRM. Back in 2006 when I went to buy my first pistol people recomended the Single Six because of the intregrated safety and simplisity. It's a great platform to learn the basics of firearms, trigger control and breathing. And since it only has 6 shots you are more likely to take your time to place the shots then you would with a 10 shot semi auto.
My next Pistol is the Beretta U22 Neos .22 Semi Auto Pistol. I am rather fond of that gun. When I want to put lots of .22 bullets down range thats the one I use. And when I take my time I'm a pretty good shot with it also. Take down is very easy, You don't even need a tool. Lock the slide back then just press a button, turn a knob and the barrel comes off with the sight and rail (has an integrated rail). Go to Gunblast to check out some reviews. You can get 4", 6.5" and 7.5" barrels for it. Beretta also carries different colored grips. I got the standard 4" blued model with black grips but am probably going to get the Beretta blue on black grips for it in the future.
I've handled the Sig Misquito and found it rather nice. First gen guns had problems but I believe SIG is now on Generation 3 which has fixed said issues. I have a SIG in 9mm so if I wanted a trainer I'd get the Misquito. My only problem with that is I like the Walther P22 a little better and I only spent $299 on my Full sized SIG where as the Misquito is over $400. LOL!!
The Walther P22 I've shot and liked it. Been thinking about getting one for sometime now. You can get it with either a 3" or 5" barrel. I believe the barrels are also user changeable. It's also the same design as the Walther P99 so if you are looking at that pistol the P22 would make a great trainer.
A friend has the Buckmark Stainless Camper and I've had the pleasure of shooting it a few times. It's pretty nice specially like the fiberoptic front sight and grips. The price is pretty good too.
There are plenty of nice .22 LR Pistols out there. If you have not had the chance to feel them at a store, you should. When you buy one, get a bulk pack of ammo (500+ rounds) and shoot all the ammo. Then try 50 to 100 packs and see which one the gun likes the best. Pretty much every gun forum and even BF.C I've asked about breaking in a new pistol they have recommened that so I'm passing it on to you. Did notice that my Single Six even though it shot good it seems to smoothen out a bit around the 550 round mark.
Have fun, be safe and please show us pictures of your new pistol when you get it!
Heber