What are some things to bring on a trip to help with swelling after minor procedures?

Hi, this is Riko. I'm planning to get a minor cosmetic procedure in Korea next month, and then I'm going on a trip right after. I know there will be swelling and redness after the procedure, so are there any precautions I should take when flying or traveling, or any products I should bring?

I don't usually do anything too elaborate with my skincare, so honestly, I don't know what to pack... Would something like cooling sheets and moisturizing cream be enough, or do I need anything special? I'd love to hear from anyone who has had a good experience with something they used.

I know it will vary a lot depending on the type of procedure, but I'd appreciate any advice on how to stay comfortable while traveling. Experienced travelers, please help!