@hacks4pancakes @dennisfaucher ooh, this I may be able to help with!
I did that with literally 150 lbs of Pulse Secure gear when I was giving trainings in France, Austria, and Germany several years ago. 3 enormous rolling checked bags, rolling carry-on, and my personal backpack.
My solution was to get three webbing straps with fastex buckles and make a luggage train - biggest / heaviest bag at the front, everything cascaded from there. (I actually ended up doing two trains of two bags each more often than I did one train of four bags, just for maneuverability - I could shove one ahead of me and drag one behind me.)
One of my fastex buckles broke along the way, and I ended up just tying off the webbing, which was a pain. If I was doing it again, I'd take a small carabiner and a 2-ft sling as a backup (scavenged from my climbing gear).
I can recreate all this and send pics if seeing it would be more useful than just a description!
It was surprisingly not-terrible everywhere except DeGaulle, which is fucking *made of* tiny uneven staircases, and the customs office to get my ATA carnet stamp was of course all the way across the damn airport from my gate.
Are you taking anything in that luggage which you will need to declare?