First time in Seoul for beauty care.. which area do you recommend?

Hello! I'm Sarah from the UAE and I'm planning a trip to Seoul next month for some beauty treatments and relaxation. I've heard a lot about areas like Gangnam and Apgujeong, but I'm not sure exactly where to base myself and which hotel to choose.

Has anyone here lived in Gangnam? How well-known is it for beauty treatments and everything? And is it close to clinics and centers, or do I need to travel around a lot? What about Apgujeong... is it suitable for short-term visitors like me, or is it more for people staying longer?

I'm also looking for other neighborhoods that have a nice beauty scene but aren't too expensive. I could really use some tips from sisters and brothers who've tried this before. What's the best area you'd recommend for a stay if I'm going for about two weeks? And what's the best hotel with a reasonable budget?