The main focus of this party is the food so arrange it (in the authentic containers of course) in the center of your table and allow guests to serve themselves. For dessert purchase or make dipped fortune cookies. Send a few extra fortune cookies and/or some leftovers home with your guests in these Chinese take-out boxes. If you chose to make a logo, here is another chance for personalization - design and print out round favor labels to apply to the take-out boxes. Place the boxes in a classic white plastic bag printed with 'thank you' in red.There are a ton of variations to this party theme. For inspiration head to your local paper and party supply store to see what you could use for your event. My local store has several isles devoted to food service supplies and I always enjoy browsing to see what I could use in a new way.
(Thanks to Kati for helping me brainstorm about how to implement my take-out potluck idea.)