I had a small procedure done before my trip abroad. How should I manage post-operative swelling?

Hello, beautiful fairies! I'm planning a trip to Korea next month and want to get a small cosmetic procedure done before I leave, but I'm a bit worried about post-operative swelling. Since I'll be flying and traveling, I won't be able to rest at home the whole time.

I'd like to ask everyone, are there any ways to relieve swelling during the post-operative period? For example, cold compresses, what to eat, or how to care for it to make the swelling subside faster? Also, what products should I bring for my trip? I've heard that some soothing and repairing products might be helpful, but I'm not sure what specific ones to choose.

Also, has anyone experienced recovering while traveling? Are there any special precautions I should take? I'm a little nervous about it affecting my travel experience. Thanks for all your advice!