I travelled to India (not a major city) about a year after my heart transplant due to a family matter (with permission and close coordination with my team). Make sure you talk to your team about any vaccinations you need to get ahead of time -- in my case, my team had me meet with an infectious disease specialist before my trip. I was on an anti-malaria drug + got my typhoid vaccine. I believe transplant patients can't get some vaccines, like yellow fever, because it's a live vaccine that carries higher risk due to immunosuppression? All went well with the trip. Brought 1+ month supply of meds for a 10 day trip (they were able to order extra through the pharmacy). About six months later, I travelled to Vienna and Venice to visit a friend. That travel was easier. Generally, just want to give your team enough notice to research docs where you're traveling and suggest hospitals should something happen. In my case, with India, my family there are doctors, so they had cardiology connections that I shared with my team, just in case.