I made sure that I have a separate bag that I can carry all the time for our important papers. You can choose a backpack or a rolling luggage. Backpacks are nice than rolling luggage because you can move fast without delay. If you're traveling with kids, bring 1 umbrella stroller. As for the luggage bags, one adult/full seat passenger is allowed to bring two 50 lbs luggage. This is the content of my luggage. Note: This is from my 2013 international flight from Philippines to US. The immigration asked me what's the content of a kalamay. I told him that it has coconut jam in it. I was worried if the steel pan and pot get confiscated but I'm glad they were still there.
I was able to bring dried fish and squid, and canned goods.
The picture below is a silhouette of my kids while watching the outside window at Incheon International airport.
How about you, what other things were you able to bring after an international flight? Could you share with me too what were not allowed?