Traveling after a small procedure – what should I pack for aftercare?

Hey everyone! So I'm planning to get a minor aesthetic procedure done while I'm in Korea, but I'm flying back to the US like 5 days after. I'm a little nervous about swelling and taking care of everything on the plane and at home.

Does anyone have tips on what to actually bring with you when traveling post-procedure? Like, should I pack ice packs (are those even allowed on flights?), compression items, or specific types of products? I'm honestly not sure what's realistic to travel with versus what I should just buy when I get home.

Also, has anyone dealt with swelling during a long flight after getting something done? Any general tips that helped you manage it? I know everyone heals differently, so I'm just looking for what worked for you guys. Thanks in advance!