Originally Posted by ProleOnParole

All of the above is absent from the Xinyi Planned Area, which might make it a great place to live as an expat but arguably not where you want to end up spending most of your time as a tourist.

For comparison, the pedestrianized area in Ximending is also a bustling shopping district very lively into the night, however the shops there are not necessarily international brands but one-of-a-kind local ones, there is an abundance of street food, and it's also a walking distance to many of the sights such as the city gates, Longshan Temple, Presidential Palace or CKS Memorial Hall, which are concentrated in the older, western parts of Taipei. In the evening, you can also attend a traditional Chinese music concert at the Zhongshan Hall or the National Concert Hall or, and it'll be within walking distance too.

The Hyatt is the most obvious choice for the OP, and he could do worse than stay there, but it's important to realize that none of the three hotels are strategically located for the tourists, and the reason they are where they are is for business travellers to the central government offices (Sheraton), trade fairs (Hyatt), or the Neihu technology park (Mariott). As a tourist ideally you'd want to be somewhere else, where you don't have to take MRT the first thing you get out of the hotel. (This is mainly for other readers researching this topic later, as they will not have the same constraints.)

Hope the OP has a great trip.