I wanted to take my entire family to NYC this summer for a vacation, but it turns out with my husband and son's new job that they cannot take any time off. I would like to take my 13 year old daughter and maybe have a mom and daughter vacation and then head to NJ to visit some relatives. We want to hit the regular tourist spots, Empire State, 9/11 Memorial, Central Park, shopping, Times Square. Any suggestions for something different or unique for a teen to enjoy? Also, where would be a good location to find a place to stay?