This tutorial on the basics of music theory will answer most of your questions.

Music Theory: a Brief Overview
https://www.guitartricks.com/tutorial/495/

Directly responding:

"what I mean by "type" is major? Maj7? Dominant?... right: because the chord [type] is about vibe in context of chord function..?

Chord quality is the commonly used term (major, minor, dominant, suspended).  Function is about how it's used in relation to the other chords in the progression (tonic, intermediate, subdominant, dominant, secondary dominant).  I think dominant is the only term that is used for both, but its origin is function.  The origin of function is largely due to the voice motion of the notes from chord to chord in a progression.

Voicing is about the specific notes being used, their order (high to low) & spacing (interval distances).

Hope that helps!