Travelling around the country is easy, from the NAIA you can take the Airports own Yellow Taxis which are regulated and safe as your trip is recorded, you will also find out that the cost is fair. That can't be said for other Taxi companies that operate from inside the Airport and the ones that are touted by bag grabbers as you leave the Airport.
Also there is plenty of cheap transport to take you where ever you want to go, like Aeroplanes and Helicopter, Buses and Jeepneys, which most are air conditioned, shuttle Vans and Tricycles, Metro Rail and Light Rail networks around Manila as well as Boats, Ships and Ferry's, for Island hopping.