How do I reduce swelling after going abroad following a small project?

Hi everyone! I'm Lu. I'm planning to go to Korea next month for a minor treatment, and then I'll be going on a business trip abroad shortly after. I'm a little worried that the flight and the change of environment might affect the swelling reduction. I'd like to ask you all, what kind of skincare should I do after the treatment?

I'd especially like to know what skincare products I should bring. For example, cooling compresses, soothing serums, etc. Has anyone shared their experience? I'm worried that I won't be able to find suitable products locally, and the swelling will slow down. Also, are there any special precautions I should take while flying, like elevating my head while sleeping?

My skin is quite sensitive, and I'm wondering if this will affect the recovery speed. If anyone has experienced something similar, could you share your experience? Thank you so much!