Work out your actual shift, whether it's worth adjusting on a trip this length, and what to do with light — which does most of the work.
Two or three days somewhere and you'll be shifting back before your body has finished shifting out. Staying near home time is usually the easier trip.
It's the strongest lever you have and it works in both directions. Getting it backwards actively lengthens the adjustment.
Melatonin is prescription-only in much of the world, sold openly elsewhere, and interacts with several common medications. The dose question belongs with a pharmacist.
Insulin, contraception, epilepsy medication — all timed. Nobody mentions it, and it needs sorting before you fly rather than at 35,000 feet.