Dentist: Private vs Hospital?

Hello folks,

So got me NHI, so going to go to the dentist. Haven’t been in years as I am an American and the US is a 3rd world country when it comes to healthcare.

I gots me no pains, so no cavities, but could use some good cleanings in and out and all around (coffee and them blimey smokes and whatnot).

So I am thinking about going to Tzu Chi hospital here, instead of going to a private dentist, but I am not sure. (I have looked through the posts about the dentists here in Taichung already, maybe I will try one, not sure).

But my question is: Has anyone gone to a hospital for their dental work? Whats it like? How does it compare (quality, experience, COST etc) to going to a private dentists?

Thanks!