Day care for babies over 2 months old

My wife will be returning to work in August and we will need day care for our baby (she will be 2 & 1/2 months old).
A friend told us that five years ago she took her soon to a public center when he was two months old. We called but they have since changed the rules; they only take babies one year or older. The price was very reasonable: NT$7500/month for one year olds, NT$5000/month for 2 years and over. But the other catch is that the baby must be Taiwanese. That rules us out because we