like Cora said, keep your supplies in your carry on, shouldnt be a security issue, you can always mention it to TSA on the way in so it's not a surprise, just keep a smile and it's no big.
as for time changes, it can be tricky. If you do a once a day basal you can talk to your doctor about splitting it to a twice a day basal this is easier to adjust to time changes.
other than that, checking your blood sugar often will be important.
make sure you stay hydrated on those international flights, this will help you avoid spikes and dips while on the flight and reduce jetlag induced messed up sugars.
this kind of travel and need for flexibility would make you a great candidate for a pump, if you're interested it'd be worth talking to your MD about. They give you soooo much more flexibility with basal rates. You could even establish different rate patterns for different time zones if you needed. But pumps do take some work to learn to use and require a good handle on how your body reacts to insulin so they're not usually recommended for diabetes "beginners"