I had a minor treatment before my trip abroad, what should I bring to reduce swelling?

Hi everyone! I'm Yating from Taiwan. I recently had a minor procedure done in Seoul. I was originally planning to stay in Korea for a week, but due to work, I might have to return to Taiwan earlier. I'm a bit worried about swelling now, as I might still be a bit puffy when I fly back.

I wanted to ask if anyone has experience flying after a minor procedure. What's the best way to take care of swelling? I heard cold compresses are important, but I'm not sure how to manage that on a plane. Also, does anyone have recommendations for soothing or hydrating products to bring home and continue using? I'm not sure what to choose because the post-procedure instructions from the doctor were a bit confusing, haha.

If anyone has gone through a similar situation, I'd love to hear your experiences and advice! Thanks!