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Have a great time. I'll be there in August and can't wait.

Although I don't try to look like a tourist, I don't hesitate to take pictures. Who cares, there's so much to see, even if you're just staring at all the activity, all the people, or just walking down Time's Square. I don't think I've walked so much in such a short time. It's just a wonderful city. Check out a play, see the Statue of Liberty. I know, all touristy, but for me anyway, it's something I wanted to do. Besides, how can you go to NYC and NOT see some of the popular tourist sites.
By all means, look for the "naked cowboy".

By August I assume he'll be ready to re-appear.

Have a fun time. The weather should be nice that time of year.
TIS