My hobbies are things like traveling and cooking... I have many!
I have several hobbies like traveling and cooking!
My hobbies include traveling and cooking... among other things!
「趣味は旅行とか料理とか…色々だよ!」という文章を英語で表すと、この三つの文章と使っても良いと考えました:
「My hobbies are things like traveling and cooking... I have many!」
「I have several hobbies like traveling and cooking!」
「My hobbies include traveling and cooking... among other things!」
「趣味」は「hobbies」という言葉になって、「旅行と料理」は「traveling and cooking」になります。「Include」という言葉は「含める」という意味があります。