Check how much they stretch.
I buy La Sportiva 1.5 sizes smaller (Oz standard) than is comfortably painful to bear for 10 minutes. They’re great after 3 months. I can’t do that super tight initial sizing in 5.10’s as they cause me to cramp. Shape is personal but I have the Miura, a lace up version of the Katana, and a pretty good all rounder plus the Mythos for gyms (I have my own gym in the attic, saves time and money). I’ve recently resoled and noticed that smear performance improved.
You’ll find a wealth of information on first shoe tips by searching TradGirl.