Just as you would at home, you need to care for your health throughout your trip. This requires preparing in advance and making sure that you don't leave anything important behind. As the saying goes, "It's better to be safe than sorry."
Before you leave for your trip you will need to make sure that you have more than enough medication to last your whole trip. If you're flying pack as much of your medication as possible into a carry on bag. This will help if your luggage is lost or delayed. Bring snacks with you if some of your medications must be taken with food. This will help ensure that you take your medications as needed while you're traveling to your destination.
You should never take a "vacation" from your medicine. An interruption in your drug regimen can be dangerous to your health and may cause resistance to one or more types of drugs. Also avoid starting a new medication closer to your travel date. New medications have side effects that may hinder your trip.
Sometimes, a change in time zones might mean you need to adjust when you take your medications. Continue to take your medications at your normal time - if you take it at 8pm at home, take it at 8pm on the road - it doesn't matter if the time difference means it's a few hours later than usual.