Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Moncton to Galway as you normally would.
Moncton Intl (YQM) is the airport you will fly out of if you book a flight from Moncton to Galway. You should not have trouble finding flights to Galway from Moncton Intl; the airport handles an average of 0 outbound flights to Galway per day. You should also have plenty of airline options to choose from since 0 airlines have flights from the Moncton airport to Galway. It is only a 8.8 km journey to Moncton Intl (YQM) from Moncton’s city centre.