New York

Here's a fun and family-friendly itinerary for 10 days in New York City, with plenty of parks and green spaces included:

Day 1: Arrival and Central Park

• Arrive in NYC and check into your hotel
• Spend the afternoon exploring Central Park, rent a rowboat on the lake, visit the Central Park Zoo, and have a picnic on the Great Lawn

Day 2: Museum Day

• Visit the American Museum of Natural History, which is located near Central Park
• Explore the interactive exhibits and dinosaur fossils
• Afterward, head to nearby Theodore Roosevelt Park for some outdoor playtime

Day 3: Brooklyn Exploration

• Take a stroll across the Brooklyn Bridge for stunning views of the city skyline
• Visit Brooklyn Bridge Park for a carousel ride and enjoy the playgrounds and green spaces along the waterfront
• Explore the Brooklyn Botanic Garden for a peaceful escape into nature

Day 4: Coney Island Fun

• Spend the day at Coney Island, ride the iconic Cyclone roller coaster, play games at Luna Park, and relax on the beach
• Enjoy a classic hot dog at Nathan's Famous
• Take a walk along the Coney Island Boardwalk and watch the sunset

Day 5: Central Park and Museum Mile

• Return to Central Park for a leisurely morning walk or bike ride
• Visit the Metropolitan Museum of Art on Museum Mile for a diverse collection of art and artifacts
• Relax in nearby Central Park Conservatory Garden for some quiet time among the flowers

Day 6: Statue of Liberty and Ellis Island

• Take a ferry to visit the Statue of Liberty and Ellis Island
• Explore the museums and learn about the history of immigration in the United States
• Enjoy a picnic lunch on the grounds of Liberty Island

Day 7: High Line and Chelsea Market

• Walk along the High Line, an elevated park built on a historic railway line
• Explore the shops and food vendors at Chelsea Market
• Relax in the green spaces and enjoy the views of the city from the High Line

Day 8: Central Park and Broadway

• Spend the morning in Central Park, rent bikes or take a horse-drawn carriage ride
• Catch a family-friendly Broadway show in the evening
• Have dinner at a nearby restaurant in the Theater District

Day 9: Prospect Park and Brooklyn Museum

• Visit Prospect Park in Brooklyn for a day of outdoor activities, including paddle boating on the lake and exploring the LeFrak Center at Lakeside
• Visit the Brooklyn Museum for its diverse art collections and family-friendly programs

Day 10: Farewell and Souvenir Shopping

• Spend your last day in NYC shopping for souvenirs in Times Square or at the Union Square Greenmarket
• Enjoy a final meal at a family-friendly restaurant before heading home

I hope this itinerary gives you a good mix of sightseeing, outdoor activities, and family fun during your 10 days in New York City! Let me know if you need any more recommendations or tips. Safe travels!