Hello Travis, I'm a Filipina. In 2008, I, my American husband, and our then 1-1/2 yr old son moved from California to the Philippines. Before deciding to move here, have a serious chat first with the family.
It's stressful to move. If you do decide to move here, come here around 2 months before moving in your family to set up your living accomodations. Find one that's within your budget.
There are lots of places which offer furnished units. Word of advice: see what's the difference between a furnished unit and unfurnished one. It might be you're better off just furnishing your own unit with furniture to your liking.
Typically, the tenant is the one who pays for utilities. Add to your budget the homeowners' association dues.
The best place to rent is where it's nearest your place of work and the kids' school. In short, to where you'll be driving almost every day. Traffic is really bad here. As in really really really bad. You wouldn't want to find yourself spending 4 hrs a day on the road. During heavy rains, the roads might become flooded, more reason to locate closer to your work.
Almost all schools have their instruction in English. Ask other expats with children where they send their kids to school. But consider first Philippine schools before international schools. Advantage of Philippine schools: First, bullying rarely happens in Philippine schools. It's part of the culture. But I do know of someone who was bullied by his bigger built classmates from very wealthy families at an international school. Second, it costs a lot less.
Things to consider: it's hot and humid here! If you're not used to it, you're probably going to use the aircon a lot. It's very expensive. Food quality, especially meats, is really bad. Better food costs more. Ask for extra from your employer for food and aircon.
What does your wife do? Is she going to work or just stay at home? I think having a driver should be first priority than a maid. As an American mom, I'm used to doing chores on my own, doing my own shopping, taking care of the kids. But I can't drive here. It's scary. But do ask your boss for allowance for maid (4k pesos + 2k pesos for cost of her food and water) and driver (don't know how much this costs). And allowance as well for gas, medical, dental, hospitalization.
Eating out: depends on restaurant, probably 3-5k / month, maybe even more. Tuition: between 70k to 250k per child per year. Cable / Satellite: 1.5 to 3k depending on your plan. Landline phone: 500. Unlimited mobile-to-mobile and text: depends on carrier. Ours is 700 for 2 cellphones. Internet (very slow anywhere) reasonable speed by PHilippine standards: 1k; 2-3x faster internet: 3k.