Have never shot the G19, in fact, no Glock ever ; however, I own and have about 1300 rounds through my P-01. If you've never owned, held or fired a CZ P-01, it's hard for me to describe to you just what a superb gun it is. I've shot a number of other auto-handguns including Kel-Tec (the LCP sized one), Sig P239 9mm, XDm .40, Sigma 9mm, Para Ord P13 9mm, and a couple of 1911s including (recently) the Taurus PT1911. While I've found good aspects in all, the CZ P-01 is by far (repeat) my choice.
The G19 looks like a fine handgun and I'm absolutely not knocking it. One day soon I must try it out also.
Out of the box, the P-01 trigger is a bit gritty as some describe. Right out of the box you've got to clean it thoroughly and use a good lube. With range time and some dry firing, the trigger smooths out nicely. Also, you have to get used to the trigger pull; it is different than a Sig for example. In single action, there is a bit of take-up to be had, then there is some creep involved in getting to the release point; however, once you get the trigger smoothed out, it shoots very easily/nicely.
The P-01 is an accurate shooter and I've experienced no hiccups (nada) in 1300 rounds. Really fun to shoot. Carries nicely too.