The PT 111 Pro Gen 3 is a great pistol. Very easy to carry concealed, very safe with one in the chamber ready to go. Mine has a very smooth trigger pull and crisp break (around 4-5 lb), with a very short palpable reset.
Recoil is very easily controlled due to a very ergonomic grip conformation.
Accuracy is spot on with just a little practice (the trigger needs some getting used to, as in all striker fired subcompact pistols with trigger safeties built in) and many people at the ranges I go to are amazed at how far this little gun reaches out to. I don't think it really matters whether it comes with the Heinie Straight 8 or the 3-dot combat sights. It is also very easy to just point and shoot as it naturally fits the hand.
Mine feeds and fires any factory ammo I have tried, a whole gamut of FMJs (round nose, truncated cone, 115, 124, & 147 grains) and bulk and premium JHPs (across all bullet weight categories, too). The only issues I have had are the occasional FTFs with range reloads. I put it down to light strikes on very hard primers put into them, probably cheap ones. I have complete confidence carrying it due to zero problems with factory ammo. Factory magazines available include 10 or 12 rounders plus the 17 round PT 24/7 Gen 1 magazines which fit perfectly.
Easy to break down and clean so it is both a fun range gun and good carry piece.
All in all the PT 111 would be a great acquisition. Good luck and I hope you enjoy it as much as I do!