It's just a fact. When you step outside your daily routine, children behave differently and settings are different. That alone can mean you need to be more vigilant. It shouldn't prevent you from traveling, but you should follow some basic safety tips.
Before you even leave the house, try to be sure you've thought through possible scenarios.
Whatever your method of getting from home to your destination, the transportation part of your trip could be the time when you need to be the most cautious.
Once you arrive, you need to keep in mind you aren't at home. Kids and grown-ups alike are surrounded by the unfamiliar, and safety precautions you have at home won't be where you're going.