Tips for caring for swelling after a minor procedure while on a trip

Hi girls! I'm from the UAE and I'm thinking of going to Korea next month for a minor procedure. The problem is I have a direct flight afterward and no one has told me how to deal with the swelling and puffiness while traveling.

Has anyone traveled after having something like this done? What are the best products I can bring for skincare? Do I need any specific cold compresses? And how can I reduce the swelling safely without affecting the outcome?

I also wanted to ask how long the swelling usually lasts; how many days does it take for it to go down a bit? I'm a little worried about looking strange on the flight 😅

Any tips you can share? I'd be so grateful!