4-day Cultural Immersion Itinerary in Amsterdam

• Day 1: Visit the Van Gogh Museum, The Rijksmuseum, and the Anne Frank House.
  Located in Museumplein, the Van Gogh Museum holds the world's largest collection of the Dutch artist’s work with classics like Starry Night and Sunflowers. The Rijksmuseum showcases a large collection of Dutch art and history, including works by Rembrandt, Vermeer, and Hals. Lastly, the Anne Frank House offers a profound perspective on World War II and Nazi Occupation that is poignantly shadowed by the rise of modern-day populism.
  
• Day 2: Visit the Hermitage Amsterdam Museum, Oude Kerk, and the Royal Palace Amsterdam
  The Hermitage Amsterdam Museum is the Dutch branch of St. Petersburg's Hermitage, one of the world's largest art collections. Oude Kerk is Amsterdam's oldest building, founded circa 1213, with a marvelous view of the canals. The Royal Palace Amsterdam was the official residence of King Louis Napoleon and is now open to visitors.
  
• Day 3: Take a walk in the historic Jordaan district, explore Begijnhof, and experience live music at the Concertgebouw.
  Jordaan is an iconic district displaying the historic charm of Amsterdam where you'll discover a blend of unique boutiques and galleries. Begijnhof is a hidden courtyard with quaint houses and courtyards, dating back to the Middle Ages. Concertgebouw is the country's most celebrated concert hall, standing as a haven for cultural immersion through classical music and a quintessential gem of Amsterdam.
  
• Day 4: Indulge in a guided cycling tour, visit the NEMO Science Museum, and end your day with a food tour in De Pijp.
  Amsterdam is an ideal location for cycling, with breathtaking landscapes and fantastic bike routes. Unravel the mysteries of chemistry, physics, and technology at the famous NEMO Science Museum. De Pijp's district is known as a haven for culinary enthusiasts, with a wide range of authentic international food choices leaving no stone unturned in your discovery tour.
  

Time and Costs Estimates

• Van Gogh Museum (2-3 hours, €19), Rijksmuseum (2-3 hours, €20) and Anne Frank House (1-2 hours, €15) - Total cost: €54
• Hermitage Amsterdam Museum (2-3 hours, €18), Oude Kerk (1 hour, €10), and the Royal Palace Amsterdam (1-2 hours, €13.50) - Total cost: €41.50
• Jordaan District (2 hours, free), Begijnhof (1.5 hours, free), and Concertgebouw (2-3 hours, €18) - Total cost: €18
• Cycling Tour (2-3 hours, €25), NEMO Science Museum (2-3 hours, €17.50) and De Pijp Food Tour (3 hours, €60) - Total cost: €102.50
Total Estimated Costs: €215

Transportation

Amsterdam has a very efficient public transportation system including the tram, bus, metro, and train. One can purchase an Amsterdam Travel Ticket for 1 to 3 days to enjoy unlimited use of public transportation. A Single ticket costs €3,20, and a day ticket costs €8.

Useful tips

If you have more time, you may want to consider visiting the Amsterdam Tulip Museum or the Joods Historisch Museum for a more profound cultural experience. Canal tours are also an excellent way to see the city from a different perspective. But if you have less time, consider skipping the cycling tour or the De Pijp food tour. Remember, the itinerary leaves space in between locations, so take a break before proceeding to the next destination.