After a small project, how should I deal with swelling and what products should I bring when going abroad?

Hi everyone, I'm Lu. I'm considering getting a minor cosmetic procedure, but I'll be traveling abroad soon afterward. I'm a little worried about swelling and unsure how to care for it.

I'd like to ask experienced ladies, how long does swelling usually last after a minor procedure? Are there any ways to help reduce swelling? I've heard that cold compresses might help, but I'm not sure how to do it specifically.

Also, what skincare products should I bring when I travel abroad? For example, moisturizing masks, soothing skincare products, etc.? Can anyone share their experiences? I don't want to be unable to find suitable products abroad.

Furthermore, are there any special precautions I should take when flying? I'm really nervous, and I'd appreciate any advice!