Go To Places?

Hello fellow expats. I’m arriving in Taipei 2weeks, and would really like to get right to the sight-seeing and touristy things.

My question is, are there any “go to” areas to mountain climb or bike ride or go swimming (i.e. beaches). Trust the word o you over any travel agent. Any and all of you ideas are welcome, especially if you can guide me :unamused:

Thanks.