4 jaw independent, as large as you can fit (probably a 6"
& slim body you can get one to fit to minimise overhang.
Used to hold square, rectangular & irregular shaped objects, not just to set off centre. Also used to accurately centre round items – more accurately than a 3 jaw self centring chuck can usually manage.
Faceplates more for special setups, like using a Keats angle plate **LINK**
or to hold castings that don't lend themselves to holding in a chuck. The mini lathe faceplates seem too small to be useful to me (space needed for clamping arrangements), plus the cast slots seem very wide & rather short.
I have the 7" & 9" faceplates for my Myford – not used either in anger yet, but use the 6" 4 jaw regularly. The advice to those starting out who could only afford one chuck initially was to go for a 4 jaw independent over a 3 jaw self centring. Might take a bit more setting up on round work, but more versatile.
Nigel B