Where should you stay for your beauty trip to Seoul?

Hello, it's Hina! I'm planning to get beauty treatments in Seoul for the first time and I'm wondering which area would be convenient to stay in.

I often hear about Gangnam and Apgujeong, but what are they really like? I've heard there are many beauty clinics and dermatology offices, but can you also enjoy them as tourist spots? I'd like to know if there are any areas that are efficient in terms of travel time.

Also, I'd be happy if there were nice cafes to relax in before and after treatments, or spots to refresh myself... If anyone has visited with an international tour, I'd appreciate it if you could tell me about the actual atmosphere! My budget is also vague, so how does everyone else plan their trips?