After creating my first mini-program and traveling abroad, how should I care for and reduce swelling?

Hi everyone, I'm Qian. I'm planning to get a minor cosmetic procedure done in Korea, but I'll be traveling abroad within a week afterward. I'm a little worried about how to manage the swelling during the trip and once I arrive in the new place.

I'd like to ask experienced ladies, how long does it usually take for the swelling to subside in this situation? What kind of skincare products should I pack in my luggage? Can I bring cooling compresses on the plane? Or is it better to buy them there?

Also, will a long flight make the swelling worse? Has anyone experienced something similar? I'd really appreciate your advice, as I'm still a bit anxious. Thank you!