@flatwater bill - if you're in or around Houston, I can send you a link to the guy who ran my CCH class. He probably has 40 or 50 handguns you can try out for a day.
Yes, on striker-fired pistols, the triggers are "different" from a standard 1911 or like my old Hi Power (was stolen), and VERY different from DA/SA like my old P220. But "different" is just different, not bad.
I used to own a Glock 19, but I ended up giving it to my wife to teach her how to shoot. She has really long fingers, and I couldn't figure out how to show her an appropriate grip which didn't have too much finger on the trigger. So I sold it and got her a Walther PPQ-M2. I replaced my stolen Hi Power with an H&K VP9. I like the triggers on both of them.
90% of pistol shooting is mental. When I was a Houston officer, I had to start off with a S&W 686, then after I got off probation, I switched to the Sig. I shot high expert with the wheel gun, the Sig, and the Hi Power (usually about 593 or 594 out of 600 possible points, just never could cross the line to "Distinguished Expert," which started at 595) - anyway, you couldn't find 3 more different triggers. Unless trigger pull is like dragging a concrete rock across 50-grit sandpaper, in my mind, a trigger is a trigger. A GREAT trigger matters if you're shooting IDPA or IPSC. For defensive shooting, it doesn't matter, at least not to me.
A shooting buddy of mine has an STI. Yeah, it has a GREAT trigger, with a bit of weight forward that allows for fast recovery. But I'm not going to spend that kind of money on a tool which serves a similar function as a ratchet wrench. It's a tool for an "oh shit" span of a few seconds. As long as a handgun goes "bang" every time you pull the trigger, you can learn (with maybe 500-1000 rds) how to be at least a competent shooter, no matter the platform.
If you've got the money to spend, nothing at all wrong with an STI. But they are spendy.