Seconded to replacing the trigger pin. Most people get the Combat Trigger or the Flat Trigger, depending on what they're using their CZ for. I went with the Thick Trigger because I don't intend to use the over travel screws of the Combat. The nice thing about a new trigger pin is they come with the slave pin which makes reinstalling a lot easier.
Also, if you've never opened up your P01 before, the biggest difficulty would probably be reassembling the sear. Otherwise the trigger is super easy.