Does the time difference between Dublin and New York change during the year?

Yes. Because of daylight saving time the gap moves between +4h and +5h.

When is the best time to call New York from Dublin?

Between 14:00 and 17:00 in Dublin, which is 09:00 to 12:00 in New York.

Dublin is 5h ahead of New York. This gap is not fixed: daylight saving time moves it between +4h and +5h during the year.

Dublin

Ireland

--:--:--

New York

United States

--:--:--

A 9-to-5 day in each city overlaps for 3h. That is 14:00–17:00 in Dublin, which is 09:00–12:00 in New York.

City	Time zone	UTC offset
Dublin · Ireland	Europe/Dublin	UTC+1
New York · United States	America/New_York	UTC−4

What is the time difference between Dublin and New York?: Dublin is 5h ahead of New York. This gap is not fixed: daylight saving time moves it between +4h and +5h during the year.
Does the time difference between Dublin and New York change during the year?: Yes. Because of daylight saving time the gap moves between +4h and +5h.
When is the best time to call New York from Dublin?: Between 14:00 and 17:00 in Dublin, which is 09:00 to 12:00 in New York.