To Be Fond Of, To Like
transitive verb, godan verb
You know that 好き is "like." Although 好き is kind of like a verb already, this is definitely a verb. It can be to be fond of or to like.
このむ
The reading is a strange one, different from anything you've learned, kanji on'yomi or vocab kun'yomi. The reading is この, so think of this: What’s something easy to be fond of? 子? No (この), not for you. You’re always saying “子? No!” Most people are fond of kids, at least their own, but not you. Noisy, germy, needy 子? No, no thank you!
彼はクラシック音楽を好む人です。
He is someone who prefers classical music.
コウイチは、黒ニンニクを好んで食べます。
Koichi likes eating black garlic.
うちのネコは一人でいることを好みます。
My cat prefers to be alone.