expression, noun which may take the genitive case particle 'no'
in my own way
Expresses doing something according to one's own style, ability, or understanding, often with humility or self-awareness. The pattern Xなり means 'in X's own way' and can be used with other pronouns or nouns.
See also: 形 (なり)
私なりに頑張ってみます。
I'll try my best in my own way.
これは私なりの考えです。
This is my own way of thinking.