Hello! It's wonderful to hear you're planning a trip to South Korea, traveling across Seoul, Asan, and Busan. Here are some strategic travel tips for your journey.

Best Time to Visit:
The best time to visit South Korea varies depending on your interests. Generally, spring (April to June) and autumn (September to November) are particulalry splendid as the weather is mild and the landscape becomes vibrant with blooming flowers or changing foliage. Winters can be harsh with temperatures dropping below zero in many parts of the country.

Route and Accessibility:
You can start with Seoul, reachable by a direct flight from most countries. From Seoul, you could take the KTX high-speed train to Asan, which generally takes less than an hour. From Asan to Busan, the express KTX train would be your best option, with an approximate travel duration of 2 hours.

Accommodation and Booking:
Seoul, Asan and Busan offer a wide range of accommodations from luxury hotels to budget guesthouses. It is advisable to book your accommodations in advance, especially during peak seasons. You may use popular booking websites that give you various options based on your price preference and location.

Clothing and Essentials:
It's important to pack according to the weather. Light clothing would be ideal for summer, while warm clothes are essential for the winter. Autumn and spring can be moderately cool, thus requiring light to medium warm clothes. Don't forget to pack essentials such as travel adapter (type C and F, 220V), toiletries, and comfortable shoes for exploring the city sights.

Health and Safety:
South Korea is generally a very safe country for tourists. However, it's recommended to have travel insurance to cover unforeseen circumstances. Drink only from clean water sources and depending upon your itinerary, consult your doctor for any required vaccinations. Ensure you have a basic first-aid kit with you.

Local Etiquette and Respect:
South Koreans value respect and etiquette. Familiarize yourself with local dining etiquette, such as waiting for elders to eat first. Always accept items with both hands as a sign of respect. Remember to remove your shoes when entering a Korean home or other places with tatami flooring.