I apologize in advance if this isn't specific enough. The kiddos (3 ages 21, 21, and 17) and I will be visiting in mid-October for four nights. We are staying in midtown. I am looking for recommendations for the best of the following: Pizza (slice), hot dog, bagel. I would like to go to a great deli for lunch one day and possibly an authentic Italian restaurant for dinner (or lunch). We will be visiting K-Town and China Town, too, so if you have recommendations for budget-friendly (if they exist) places to eat in those specific areas, those are welcome as well. If you have any suggestions for an iconic New York restaurant that everyone should visit at least once, I would like to know that too (price point in the mid-range ?). Thank you for your input :-)