There is also a Taizhou Stomatological Hospital, west of Taizhou Bookstore.
However, these big hospitals are quite expensive, and they are always 1000 yuan.
If you don't have much money, you can find a private clinic. There is a water market on Renmin Road and a Wang Baoyu dental clinic. You can go and have a look.
There is also a dental clinic next to Sunjiaqiao in the north of Yangqiao.