You will NOT, be able to take your tools on the plane as carry on. Plan on checking them or not taking them. I rolled the particluar tools that I figured I needed in soft cloth and then packed them in a hard case old style suitcase.
You cannot carry anything on the plane that could be used as a weapon and trust me most everything in your toolbox will work as a weapon.

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'99 S420 - Mommies
'72 280SE 4.5 - looking to breathe life into it
'84 300SD Grey - Sold
'85 300SD Silver - Sold
'78 Ski Nautique