Pour eux, la santé reste la première priorité, avant le travail et les écrans.

and

Breakdown of Pour eux, la santé reste la première priorité, avant le travail et les écrans.

• avant: before
• le travail: the work
• pour: for

Questions & Answers about Pour eux, la santé reste la première priorité, avant le travail et les écrans.

Why is it pour eux and not pour ils?

In French, after a preposition like pour, you must use a stressed pronoun (also called a tonic or disjunctive pronoun), not a subject pronoun.

• ils = subject pronoun (used as the subject of a verb)
  
  • Ils travaillent. → They work.
• eux = stressed pronoun (used after prepositions, for emphasis, etc.)
  
  • Pour eux, la santé est importante. → For them, health is important.

So pour + eux is the correct combination. pour ils is always wrong.

What nuance does pour eux have here? Is it like according to them?

Pour eux literally means for them, but here it has the nuance:

• In their view / As far as they are concerned / For them personally

It is close in meaning to selon eux or d’après eux (according to them), but:

• pour eux often suggests personal priorities, tastes, or point of view
• selon eux / d’après eux is more about what they say or claim, often used for opinions or reported speech

In this sentence, pour eux means: if you look at their priorities, from their point of view, health comes first.