I assume it's a Catholic priest. You just need to go to the church office/admin. There's a certain fee for the church/priest and an additional fee for every godparent. For the church/priest fee, that depends if the baptism will be solo or not. Solo is more expensive. The fee for each godparent depends as well. We had our son baptised at my husband's province. We paid for 1,200 pesos for the church and 200 for each godparent. It already included the candles for the baptism. In my province, I'm not sure about the church fee but it's 100 pesos per godparent. Church usually don't accept any other fee especially for baptism. Hope I was able to give you some ideas.
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In EDSA Shrine, donation is voluntarily given to the church, no fees required.