Learn Swedish: Alla kockar använder samma handske till köttet och osten. - All chefs use the same glove for the meat and the cheese.

You would say Såvitt jag vet använder alla kockar samma handske till köttet och osten. Notice that the subordinate clause såvitt jag vet takes up the first position in the sentence, so the main verb använder must come immediately after it to satisfy the V2 (verb-second) rule.

Why is it samma handske and not the definite samma handsken since the English translation says "the same glove"?

In Swedish, the word samma (same) acts as a determiner that inherently makes the noun specific. Because of this rule, it is almost always followed by the noun in its bare, indefinite form, even though we use the definite article "the" in English.

Why do we use till instead of för to mean "for" the meat and cheese?

When "for" indicates what an object is applied to, paired with, or destined for, Swedish uses till. Here, the glove is a tool directed toward handling the meat and cheese. You typically use för when doing a favor for a person or in specific fixed expressions.

Could we say till kött och ost (without the definite endings) if we meant meat and cheese in general?

Yes, if you are talking about the abstract concept of meat and cheese, you can drop the definite suffix. However, using the definite forms köttet and osten here sounds more natural because it implies the chefs are handling the specific ingredients being prepped in that particular kitchen.