Do you think your child could sleep while you are traveling? Having them sleep during even part of your trip is going to make your job that much easier. Of course, if they don’t sleep, you have a rough time ahead of you. The article that I’m reading says that it is more expensive to fly at night? I do not think that is right at all.
You are going to be wise to choose the somewhat longer layovers. Enjoy walking around the airport, stretching your legs. You might want to get something to eat, either while you are there or during your flight.
You will want to do your research on the country you are going to visit. Is nursing your baby something that is acceptable? Do you need to get shots? How should you tip?? These are just some of the things that you will need to learn.