But I I'll offer a few suggestions:
I strongly suggest taking your own, as not only do you know your own gear, you know when it was serviced. Almost all of my diving is after flying, but I own my own so I can know it and trust it.
There's always a chance that checked bags will be late, so you carry the most important in your carry-on, along with enough clothes for 24 hours, etc. Carrying your own mask is good to ensure you have one that'll fit; even more so with prescription lens. I also carry my reg, computers, camera, oxygen analyzer, and anything else I can to reduce overweigth checked bags.
Knives are okay in checked bags, but NOT IN CARRY-ON. You knew that, but people forget, then lose the knives. I always clean my nails at the airport, then put my pocket knife in the checked bags at the last minute.
If you can spare the weight, pack batteries in checked bags, as you may not find your kind available when you get there. I always take batteries out of lights, to reduce breakage, and to look harmelss on x-ray.
Finally, I carry almost nothing in my pockets, as that slows me down at security; put stuff in a backpack or belt bag that can be thrown on the belt all at once, but then - watch it closely when it's not on your body, espeically outside the U.S. If you want to carry a roll of quarters for quick change needs, unroll them, so they'll look harmless on x-ray, too.
(Said a lot for a guy with little to add, huh? Well, I'm working on that personal problem...)
All part of the adventure...
have fun, don