In one's own way; doing or thinking according to one's personal method or perspective.
彼女は自分なりに問題の解決策を考えた。
She thought of a solution in her own way.
自分なりに準備はしたが、まだ不安だ。
I've prepared in my own way, but I'm still anxious.
料理は自分なりのアレンジを加えてもいい。
It's fine to add your own twists to the cooking.