Make a list and check it off the night before and again on the morning: range ruler, templates, asteroids/debris, damage deck (that you have checked!), dice etc. Make sure you have all of the seemingly auto include cards that make up your list i.e. titles.
You can print out and fill in the tournament list form before you go which is also a good way of double checking you have all your upgrades and pilot cards in order.
Don't overthink a fancy means for a tray. I bought this simple photo storage box a few years ago and it's big enough to carry all the stuff I need to tournaments. The top makes a good tray to move table to table.