The city's three major airports are resuming and rescheduling the hundreds of flights cancelled by Hurricane Irene, though officials warn that not everything is hunky dory just yet.

LaGuardia Airport reopened for arriving and departing flights at 7 a.m. today, while JFK International and Newark Liberty International re-opened at 6 a.m. for arriving flights, and should allow departures by noon, according to the Port Authority. But airport authorities warned: “There are still many cancellations and delays especially on flights to other airports in the Northeast...It is going to continue for another day or two. We recommend that people check with their airlines. Some flights are going but a lot are not.”

CNN has a full rundown of airline operation changes:

United Airlines and Continental Airlines

: United and Continenal flights will resume Monday from the three major New York-area airports where operations were suspended Saturday and Sunday. The carriers also will resume service at airports in White Plains, New York; Boston; Hartford, Connecticut; Providence, Rhode Island; Portland, Maine; Manchester, New Hampshire; and Albany, New York, following Sunday flight suspensions. Airline employees from other domestic locations will be in New York to assist with resuming operations, the airlines said in a statement.

Delta Air Lines: Flights will resume around noon Monday. The airline is undecided on adding new flights to make up for the weekend's canceled flights, but spokesman Morgan Durrant said Delta expects every customer to be accommodated in the next few days.

Jet Blue: Jet Blue will start flying again from New York metropolitan airports and Boston at 3 p.m. ET Monday, said spokesman Mateo Leras. Some additional flights have been scheduled to handle the backlog of passengers.

US Airways: US Airways will resume flight operations Monday morning in the Northeast and will be back to a full schedule by Tuesday, said spokesman Todd Lehmacher. No additional flights have been added.

Southwest Airlines:
Southwest will operate a normal schedule Monday at LaGuardia Airport in New York and McArthur Airport on Long Island, spokeswoman Katie McDonald said. Southwest flights from Newark Airport will resume around 11 a.m. ET. The airline canceled more than 750 flights at the three airports on Saturday, Sunday and Monday.

American Airlines:
American will resume service Monday at airports in the Northeast, according to spokeswoman Andrea Huguely. A few morning flights won't fly, but the afternoon schedule will be full. Extra flights may be added if demand is high enough.