To transport my bead project during the trip I used this portable organizer from Snapware. It has three stacking compartments that snap together with side tabs. I bought mine at Joann's ages ago, but haven't had occasion to use it until now.
In the top compartment I put my bead tray and the project itself, along with some of the tools. In the middle compartment I put my Beader's Companion and my Knitter's Companion.
The bottom tray has two covered compartments. The covers are rather ingenious. There are two depressions that you put your fingers into to remove the covers, but the depressions are open on the flat side so that if you want to you can pull out the entire compartment.
I put my beads in the compartments, separated by project. It's a very nice solution for traveling with your beads. But you don't have to just use it when you're traveling, it is also a convenient storage solution for working on projects at home, especially if you have a cat that likes to steal your bags of beads.
My only association with Snapware is as a satisfied customer.