の方が好きなの

like ... better

→ の
phrase Rare #21,077
like ... better の方が marks the preferred option, with the comparison sometimes left unstated. The ending の adds an explanatory or conversational tone.
JA: 私は犬より猫の方が好きなの。
EN: I like cats better than dogs.

トムは手料理の方が好きなの。

Tom prefers home-cooked meals.

あなたよりトムの方が好きなの。

I like Tom more than I like you.

ワインは白より赤の方が好きなの。

I prefer red wine to white.