Nothing is stopping you to travel with your children except how you think and it may be an inconvenience. Aside from all the things that you need to bring with you, especially when you are planning a trip overseas, your mind would be filled with all those negative things that you constantly hear from other families in what they experience when bringing their children along with their trip. Keep in mind that not everyone has the same experience and your view of a certain place may differ from another's. So this means that you have to create your own adventure and whenever something goes amiss during your trip, it will be a lesson for you to learn and then adapt it onto your next trip, still with your children.
If it is your first time though, you should start small first but at the same time thinking big. Try going to start in small steps rather than in big leaps so that you can see the difference on how you are going to cope with your next trip should you decide to make it bigger. For example you can try first spending a night in a hotel that is near where you live. Observe the things that are making you stressed out or enjoy it then on your next travels, try making it farther away from where you spent the night at a hotel. Then after you can try spending it overseas. Overseas trips can be very challenging because you might forget things from home so it is best that you plan ahead first before you embark on your overseas trip. You can prepare your international trip based on the things that you have learned from your previous travels. Since it will be your first trip outside the country, this will become your basis for your next international trip, should you plan to do so.
What makes international trips really interesting, especially if you try to spend a month in a single country is that it makes you learn new things and for your children as well. It is like having an educational tour only that the teachers are the locals while the entire family are the students.
It is never a good idea to rush things if you are having second thoughts or that you have doubts about your trip. That is why it is best that you start small first before going onto big things.