A family of 2 adults and 2 children aged 9 years and 3 years staying Taipei for 10 days 9 nites

Hi, kindly advise us some good places to visit. We plan to rent a holiday apartment during our stay. As we have young children, what places would enable us to plan for one-day visiting (like go early in the morning and come back at night)? Also, if you know of any good strategic located holiday apartment with 2-bedroom. Hear from you soon and thank you.