You can transport deviled eggs by packing them in a container that is leak-proof and airtight. Here are a few tips: If you're taking them on a road trip, pack them in a cooler with ice packs. If you're taking them to a picnic or potluck, put them in a container that can be transported without refrigeration (like an airtight plastic container). If you're giving them as a gift, put them in an egg carton and pack the carton in a Styrofoam cooler.