[noun] + が + 嫌い(です) [noun] + が + 大嫌い(です)
[verb (dictionary form)] + の/こと + が + 嫌い(です)
嫌いな + [noun]
A question adds か.
嫌い ends in い, and learners conjugate it as an い-adjective. It is a な-adjective, like きれい, so its negative is きらい嫌いではありません or きらい嫌いじゃないです, its past is きらい嫌いでした, and it takes な before a noun.
As with 好き, the thing you dislike takes が, not を.
These go beyond saying you dislike a thing.
嫌いです is blunt. About food you are offered or about a person, the softer choice is the negative of 好き, usually with あまり (not very).
The negative of 嫌い goes the other way. It says you have nothing against something, which is less than liking it.
For an activity, put the verb in its dictionary form and add の before が. こと can replace の and sounds a little more formal.