I would recommend visiting the Philippines with your family. The best time to visit would depend on what activities you’re interested in. If you’re planning to go to the beach, it is advisable to go between March to May, this is the hot and dry season. For other activities where you want dry and cool weather, I would say to between November to February. The cooler areas are Baguio City, Antipolo City and Sagada.
I would avoid visiting during June to October as this is the typhoon season. Of course, you should also prepare for the unexpected heavy rains due to climate change.