Where is the most convenient area to stay for a Seoul beauty trip?

Hi everyone, I'm Yun! I'm planning a little beauty trip to Seoul this fall, but I'm a bit unsure about where to stay. I've heard that Gangnam and Apgujeong have a lot of beauty clinics and a strong medical aesthetics vibe, but I'm not sure if staying there is the most convenient option. Has anyone else who's traveled internationally stayed in those areas? What do you think about staying in Gangnam? Is it convenient for transportation? Or would it be better to stay in another area and travel there daily?

I'm mainly interested in skin management and some minor medical aesthetic procedures, but honestly, I'm not too familiar with the geography of Seoul. I'm looking for a place that's close to clinics, has good accommodation options, and is convenient for dining. If you have any recommended areas or hotels/guesthouses you've stayed at, feel free to share. As for the budget, I'm still figuring it out and would like to hear about everyone's experiences first.

Thanks, everyone! Looking forward to your suggestions~