TRUMPET AND MERMAID
Birdcage veils, elbow to fingertip length veils and long veils (chapel length to cathedral length provided it's longer than the train of the dress).
Veil width: narrow to extra fullness.
SHEATH AND COLUMN
Birdcage veils, from elbow to cathedral length veils (if choosing a long veil - provided it's longer than the train of the dress).
Veil width: narrow to medium fullness.
TEA LENGTH AND COCKTAIL
Birdcage veils, mini to hip length veils.
This guidance applies to wedding dresses in general based on my observation and personal opinion but it all comes back to your desired bridal look and personal preferences.