Hi, here are a few ideas for you to enjoy with your daughter:
The Children’s Art Museum: It’s small, but they have fantastic hands-on exhibits and also classes (yes, for 4 year-olds)
Tienmu West Rd, lane 50, #20, B1 www.artart.com.tw
The Miniature Museum:
Pretty incredible miniatures of all kinds of things, historical scenes, fairytales, room interiors from different ages. Imagine several rooms of the most incredible dollshouses you’ve ever seen.
Jian Kuo Nth Rd, Sec. 1, #96, B1
Taipei Public Library: I think someone else mentioned this. It’s a really great resource. There’s a whole floor of English kids book and it’s a very nice environment. Then have videos and I think music, too. The English kids section is B2 of the library. The libriary is Jian Kuo Sth Rd, between Xinyi and Hoping Rd, on the east side of Jian Kuo (Jian Guo?)
Sogo department store: has a big clock out the front that kids like. It has lots of dolls that appear on the clock face every hour on the hour (starts just about five minutes before)
Eslite bookstore on TunHua (between Chung Hsiao and Jen Ai). You can read the books there and next to the kids store (B1?) there are toy stores set up so kids can play with the displays.
Children’s Eslite bookstore in Gong Guan has chairs set up so you can read the books in the store.
Taipei Zoo: It’s easy to get to and cheap. They’re doing renovations so you won’t be able to see all the animals (like the lions), but there’s still days and days of things to see. Just take the brown line MRT to the last stop. They have lots of indoor exhibits, too.
Da-an park: There’s a big playground at the north end of the park on Xinyi Rd.
Sun Yat-sen Memorial Hall: There’s another big park outside, though no playground. There is a lake with a little bridge AND a shop that sells ice-cream with big fiberglass cows outside (pretty thrilling for most 4 year olds) Inside you can see soldiers and they change guard on the hour, they start 10 mins before the hour. Lots of kites on the weekends.
CKS Memorial Park: Has a nice pond to feed the fish, except they might be doing renovations to it right now, but room to run around anyway.
Children’s Recreation Center:
Chung Shan Nth Rd, Sec, 3, #66 (across from the Fine Arts Museum)
It’s cheap and huge and lots to do. There’s really nice grounds around the place, with historical exhibits, a fish pond, a kind of fountain/maze area, a section of ancient Chinese games, lots of play/running around areas, pavillions for lunch, sculptures you can play on, and a “cave” with the monkey king inside, also an IMAX theater and science section, but I’ve never made it in there. There’s even a section with lots of fairground-style rides. It’s a great place and she probably won’t want to leave.
Museum of Transportation: There’s an indoor section, but the outdoor section has lots of rides, too. It’s on Ting Chou Rd, near the corner of Shi Da Rd.
Guang Do Bird Sanctuary: It’s a bit further out, but they have guides who will train the binoculars on a bird for you to look at, but a lot of the attraction is the outside grounds so you need a nice day for it. On the Tamshui MRT line (red line) north of Taipei, Guang Do station (the MRT has more info on this)
The Botanical Gardens: Nice grounds and has a nice lilypond. All the guide books have this address.
I work at a kindergarten in town near the Xinyi district and these are places we go to for our outings. I’m sure your daughter would be welcome to join our class for the remaining months of the semester if you think you would be interested in that.