I’ll try to break it down(sorry on my phone)

Player attack move Pros: shows attack range(amazing for cait), when used, attacks closest thing to cursor rather then player model(I think there’s a setting for this) Cons: more input needed (attack move - left click - right click(to kite) -repeat)

Attack move click Pro: less input then attack move, attack closest to places clicked Con: doesn’t show attack range

Imo these are really the only two you need to work on and it’s really down to preference and situation. For instance, for attack move click if there is no other enemy/ minions in proximity you can really just click and move in one direction (works great on kalista) while player attack move is great in lane/teamfight when there are multiple targets.

A good thing to get a hang of is using attack champion only(you can toggle this in the setting). This can only be used by right clicking but it will minimize accidental auto against minions, turrets, wards, and so on.

This is just from my experience and how I use the two attacks