Tips for managing swelling and aftercare products when traveling after minor treatments

Hi everyone! I'm planning to get a minor treatment in Korea next month but will have to travel around the city immediately afterward. I'm worried about swelling and how to manage it while traveling. What products do you recommend bringing for aftercare? I'm only planning to bring a small carry-on, so I'm looking for something practical and space-saving.

Honestly, I've never had a treatment done here before, so I'm worried about what to do if the swelling is severe. Has anyone experienced this before? What helps the most to reduce swelling? I've heard cold compresses are important, but how can I do that practically while traveling?

Also, I'm wondering if there are any specific skincare products I should bring or if it's unnecessary. I'm afraid of using the wrong products and causing problems. Any tips would be super helpful! Thanks in advance.