I have 10 days

Day 1

~2.4 km between stops

1. The Metropolitan Museum of Art
2. Central Park
3. American Museum of Natural History
4. Solomon R. Guggenheim Museum
5. Cooper Hewitt

Day 2

~6 km between stops

1. Islamic Cultural Center of New York
2. Museum of the City of New York
3. Conservatory Garden
4. Cathedral of Saint John the Divine
5. Frick Collection

Day 3

~1.5 km between stops

1. Central Park Zoo Security
2. Moma Museum
3. Top of the Rock
4. Rockefeller Capital Management
5. St. Patrick's Cathedral

Day 4

~1.7 km between stops

1. Chrysler Building
2. Morgan Library & Museum
3. Empire State Building
4. New York Public Library
5. Bryant Park

Day 5

~5.7 km between stops

1. Museum of Arts and Design
2. Riverside Park
3. Intrepid Museum
4. Flatiron Plaza
5. Union Square, Manhattan

Day 6

~5.5 km between stops

1. Washington Square Park
2. New York City Fire Museum
3. Hudson River Park
4. Whitney Museum of American Art
5. Tompkins Square Park

Day 7

~2.4 km between stops

1. South Street Seaport
2. National Museum of the American Indian
3. Battery Park
4. National September 11 Memorial & Museum
5. Irish Hunger Memorial

Day 8

~9.1 km between stops

1. Ellis Island
2. Statue of Liberty
3. Brooklyn Bridge
4. New York Transit Museum
5. Brooklyn Museum

Day 9

~40.3 km between stops

1. Brooklyn Botanic Garden
2. Prospect Park
3. New York Aquarium
4. Noguchi Museum
5. Morris–Jumel Mansion

Day 10

~31.8 km between stops

1. Fort Tryon Park Trust
2. The Cloisters
3. New York Botanical Garden
4. Bronx Zoo
5. Old Westbury Gardens