Using your current SIM card outside of the country it was issued in is not a great idea. The biggest reason being the extraordinary roaming fees most service providers apply when their SIM cards are used internationally. Instead of putting up with these outrageous charges, it’s recommended you go with international SIM cards.
Compared to local SIM cards, an international or global SIM card is a lot more flexible and convenient. For starters, you would get calls for free on your international card in several countries. If you are going to visit multiple countries, a single SIM card would be extremely hassle-free. If you go the local SIM card route during your visits to multiple countries, you may end up with a bunch of SIM cards to manage. Also, with an international card, all your expenditure could be managed through a single account without any language issues.