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

Hi everyone, I'm planning to get a minor beauty treatment soon, but I'll be going on a business trip abroad afterward, leaving about a week later. I'd like to ask what aftercare products you all brought on your trips, especially for reducing swelling and daily care?

I've heard that swelling is most noticeable in the first few days after surgery, but will flying and changing environments worsen it? Has anyone experienced this? I'm really torn about whether to postpone my trip. Also, what kind of products are convenient to bring on a plane, since there are restrictions on liquids, right?

If you have any practical tips, like how to do cold compresses, or what masks or serums to use, please feel free to share! I'd love to learn from your experiences. Thank you all!