Regardless of when you booked your tickets, check the airline’s website at least 72 hours prior to each flight. Things may change and we are not always notified (therefore we cannot notify you, either).
Ideally, you can check again the day of your flight as well to ensure there are no major delays or surprises before you set off for the airport.
Where possible, log in to the airline's website and add your contact information so that they can notify you of any last minute changes.
While you are traveling, you can ask your hotel's staff to call the airline and confirm the flights on your behalf (unless you have access to internet to check the airline’s website).