Here's an ideal itinerary for 7 days in Moscow:

Day 1: Arrival and Red Square

• Arrive in Moscow and check into your hotel
• Head to Red Square, the heart of Moscow, and take in the stunning architecture of St. Basil's Cathedral and the Kremlin
• Visit the State Historical Museum to learn about the history of Russia
• Enjoy dinner at a traditional Russian restaurant

Day 2: Moscow Metro and Arbat Street

• Take a tour of the Moscow Metro, known for its beautiful stations and artwork
• Visit the Pushkin Museum of Fine Arts to see works by famous artists such as Van Gogh and Monet
• Stroll down Arbat Street, a pedestrian street filled with shops, cafes, and street performers
• Have dinner at a local restaurant and try some traditional Russian cuisine

Day 3: Kremlin and Cathedral Square

• Visit the Kremlin, the historic fortress and residence of the Russian president
• Explore Cathedral Square, home to several stunning cathedrals including the Assumption Cathedral and the Archangel Cathedral
• Visit the Armoury Chamber to see the collection of royal treasures and artifacts
• Enjoy dinner at a restaurant with a view of the Kremlin

Day 4: Tretyakov Gallery and Gorky Park

• Visit the Tretyakov Gallery, one of the world's greatest collections of Russian art
• Take a stroll through Gorky Park, a popular park with beautiful gardens, fountains, and activities such as boating and rollerblading
• Have dinner at a restaurant in the park or nearby

Day 5: Izmailovo Market and Bolshoi Theatre

• Visit the Izmailovo Market, a colorful outdoor market with traditional Russian souvenirs and crafts
• Take a tour of the Bolshoi Theatre, one of the world's most famous opera and ballet theaters
• Enjoy dinner at a restaurant near the theatre

Day 6: Moscow River Cruise and Victory Park

• Take a cruise along the Moscow River to see the city from a different perspective
• Visit Victory Park, a memorial park dedicated to the victory in World War II
• Have dinner at a restaurant with a view of the park

Day 7: Day trip to Sergiev Posad

• Take a day trip to Sergiev Posad, a historic town known for its beautiful Trinity Lavra of St. Sergius monastery
• Explore the town and visit the monastery, a UNESCO World Heritage Site
• Have dinner at a local restaurant before returning to Moscow

I hope this itinerary helps you plan your trip to Moscow!