始める => to start; to begin to ~ N4
~によらず      => regardless of ~ N1
より => More… than… N4
Comparisons
いずれにせよ => anyway N2
Situation
[始「はじ」]める => To begin to A; A begins N4
Secondary Verb
によらず => Regardless of A N1
Based/focused/depending on
もとより => from the beginning N2
Of course
よりいっそ => I'd rather... than... N2
Description
より~ほうが => is more than N5
なにより => most,best,above all N3
The highest (comparative) level
は~より => than; rather than; more than ~ N5
ますように => making a wish N3