Begin your city experience in Seoul at Gyeongbokgung Palace, a magnificent palace built in the 14th century that showcases traditional Korean architecture and culture. Then, take a stroll down Bukchon Hanok Village to see the preserved traditional Korean houses and learn about their design. End the day with a delicious Korean BBQ meal at Goguryeo BBQ.
Take a high-speed KTX train to Busan and start the day by visiting Jagalchi Market, the largest fish market in Korea where you can taste fresh seafood. Then, visit the Busan Tower to catch a panoramic view of the city skyline. End the day with a visit to Bupyeong Market, a bustling traditional market in the heart of Busan.
Take a scenic ride on the KTX train to Daegu and start the day with a visit to the Seomun Market, one of the oldest traditional markets in Korea. Then, visit the Donghwasa Temple, a serene Buddhist temple that dates back to the 10th century. End the day with a night view of the city at Apsan Observatory.
Take an express bus to Jeonju, the birthplace of the Korean dish Bibimbap. Start the day at the Jeonju Hanok Village, a traditional village filled with Korean houses and narrow alleys. Then, visit the Jeonju National Museum to learn about the city's history and culture. End the day with a delicious bibimbap meal at Gajok Hwegwan.
Take an express bus to Gyeongju and start the day by visiting the Bulguksa Temple, one of the most famous temples in Korea with over 1,500 years of history. Then, visit the Gyeongju National Museum to learn about the city's rich cultural heritage. End the day with a visit to the Anapji Pond, a stunning artificial pond that was built in the 7th century.
If you have more time, consider visiting the DMZ (Demilitarized Zone) between North and South Korea. If you have less time, consider skipping one or two cities and spending more time in the remaining cities. Don't forget to try street food in each city as they have their own delicacies.