I found this link to the Ministry of Education's Early Childhood website . It has a search engine where you can find all the registered private, semi-private, and public early childhood centers in Taiwan. It is in Chinese, but is fairly easy to navigate.
You can also look for your own school's website on the URLIFE site. I have joined their online school sites, and there is a mass of information there for people with schoolaged children. It's going to take me a while to dig through it before I can post some English information, so I encourage you to test your Chinese and go DIY!