OP, I’ll add that most of the houses that were posted and you will find, will require a car or personal vehicle of some kind. Being close to public mass transportation AND it being a standalone house, will probably bring you up to 6 figures for rent.
Make sure you do research on how to legally drive in Taiwan before deciding on the home!
Just for the sake of it, I was looking into houses in Taipei on 591. Found one close to Longshan Temple and a couple in the Yangmingshan area. Not that expensive, less than 20k. as to teh state …
Oh and there was one so far into teh mountains of Xindian it was almost the Maokong gondola, but it was my favorite. nice little farm “with a plot for vegetables”.
You looking at downtown city public schools or also considering some of those “mountain” or “forest” public schools on outer edge of the city where the teaching and homework is less harsh?
Some stuff in those links with info on “forest schools”.
I remember there’s a Chinese link of all forest schools in Taipei and elsewhere, but cannot find it. Maybe someone else has it.