I have read that permission is needed to take pictures. I'm going in a few days, can I take pictures? Thank you!

In Central Park there is no problem because it is a Public place, in museums it is only without flash and it also depends on the exhibition you are visiting because some have rights reserved, in each museum you can inform yourself of this

You can take pictures. In museums they are flash

When I was there, in public places it was normally allowed. In environments like museums, no flash.