Explore the UNESCO-listed Baku Old City, a maze of narrow streets, historic buildings, and charming cafes. Make a stop at the Maiden Tower, a 12th-century monument with panoramic views of the city, and the Palace of the Shirvanshahs, a 15th-century royal residence with intricate Islamic designs. Take a family-friendly cooking class at Peri's Cooking Classes to learn how to make Azerbaijani dishes and enjoy a traditional lunch.
Visit the Azerbaijan Carpet Museum, boasting a vast collection of unique Azerbaijani carpets and learn about their history and cultural significance. Head to the Yanar Dag Flame Mountain, which is continuously burning due to gas seeping through the ground, creating an impressive natural spectacle. Have lunch at Nar Dosha Cafe and Restaurant, offering a variety of Azerbaijani and international dishes.
Explore Gobustan National Park, a UNESCO World Heritage Site, where you can witness ancient rock engravings and see the remains of prehistoric settlements. Then head to the unique natural phenomenon of the Mud Volcanoes, where you can observe bubbling mud pools. Have lunch at Gaval Dash Restaurant, which offers traditional Azerbaijani cuisine in a rustic setting.
Visit the Heydar Aliyev Center, a modern architectural wonder and a cultural center. Enjoy the innovative displays in the Museum of Modern Art and have lunch at Chirag Plaza Restaurant and Lounge, a family-friendly establishment with an extensive menu. Walk to the bustling Fountain Square, a central meeting point for locals and tourists alike, to shop for souvenirs and enjoy the lively atmosphere.
If you have more time, consider taking a day trip to the picturesque city of Sheki to see the beautiful old town and visit the Sheki Khan's Palace. If you have less time, you can skip the Yanar Dag Flame Mountain or the Gobustan National Park. Keep in mind that some attractions may have different opening hours or be closed on certain days, so it's best to check the official websites or contact them directly before planning your trip.