Many people don't realize that Taiwan is a super kid-friendly country for traveling. Here's why:
- It's super safe.
- It's easy and convenient to get around by public transportation.
- Locals are hospitable and love children.
- There are lots of kid-friendly sights.
See this article for suitable 1 week or 2 week itinerary for traveling around Taiwan with kids. Some highlights include the Taipei 101 observatory, taking the small gauge railway to Alishan, staying on a tea farm, riding a gondola above Sun Moon Lake, and exploring Taroko Gorge.
For getting around Taiwan, kids under 6 ride free on all public transportation. However, if you want a seat for you child under 6, you should buy them a children's ticket (meant for ages 6-12), which is usually half price. In Taipei, the MRT will get you just about anywhere you want to go. Between cities, the high speed rail is best but most expensive. The regular train is also great, but seats often get fully booked, so you should reserve your tickets two weeks in advance.
You might want to avoid the peak of summer, when it is extremely hot and humid. One word of warning: many sidewalks in the country are not great for strollers.