Here's a suggested itinerary for 7 days in Nice:

Day 1: Arrival and Exploration

• Arrive in Nice and check into your hotel
• Take a stroll along the Promenade des Anglais, a beautiful seaside promenade
• Visit the Old Town (Vieux Nice) and explore its narrow streets, colorful buildings, and charming squares
• Stop by the Cours Saleya market, where you can find fresh produce, flowers, and local specialties
• Enjoy a traditional Niçoise dinner at a local restaurant

Day 2: Beach Day and Castle Hill

• Spend the morning at one of Nice's beaches, such as Plage Beau Rivage or Plage de la Promenade
• After lunch, head to Castle Hill (Colline du Château) for panoramic views of the city and the sea
• Visit the waterfall and the ruins of the castle, and take a leisurely walk through the park
• Have dinner at a restaurant with a view of the city lights

Day 3: Day Trip to Monaco and Eze

• Take a day trip to Monaco, a glamorous principality known for its casinos, yachts, and Formula One Grand Prix
• Visit the Prince's Palace, the Oceanographic Museum, and the Monte Carlo Casino
• After lunch, head to the medieval village of Eze, perched on a hilltop overlooking the Mediterranean
• Explore the narrow streets, the exotic gardens, and the ruins of the castle
• Return to Nice for dinner

Day 4: Museums and Gardens

• Visit the Musée Matisse, which houses a collection of works by the famous French painter
• Visit the Musée Marc Chagall, which showcases the works of the Russian-born artist
• Have lunch at the Jardin des Arènes de Cimiez, a beautiful park with Roman ruins and a monastery
• Visit the Musée National du Sport, which celebrates the history of sports in France
• Have dinner at a restaurant with a garden or terrace

Day 5: Wine Tasting and Countryside

• Take a wine tasting tour of the Bellet wine region, located on the hills above Nice
• Visit the vineyards, the cellars, and the tasting rooms of local wineries
• Have lunch at a restaurant with a view of the vineyards
• After lunch, head to the countryside for a leisurely walk or bike ride
• Have dinner at a local restaurant serving traditional Provençal cuisine

Day 6: Boat Trip and Antibes

• Take a boat trip along the coast, stopping at picturesque coves and beaches
• Visit the town of Antibes, known for its old town, its marina, and its Picasso Museum
• Explore the narrow streets, the colorful houses, and the lively markets
• Have dinner at a seafood restaurant overlooking the sea

Day 7: Departure

• Enjoy a leisurely breakfast at your hotel
• Take a last stroll along the Promenade des Anglais or the Old Town
• Check out of your hotel and head to the airport or train station

I hope this itinerary gives you some ideas for your trip to Nice! Let me know if you have any questions or if there's anything else I can help you with.