I agree, the first year you travel pretty light. My ex and I went to Japan with my girl at 3 months and came back 9months later. Think minimalist and moustachian, and its pretty easy. Baby carriers at that age are stellar, like the Baby Bjorn or Ergo baby ones. The main thing is access to being able to wash clothes and possible cloth nappies if you use them. The hardest thing is if you need a car seat. Babies and small children sleep anywhere, on anything. Just follow careful principles to avoid SIDs risks in babies.
Until about 18 months they really need few actual toys and what they have a small light and simple. A good quality teddy (get a good quality one), a small soft ball, random objects, and you, is what they spend most their time on! Books are important too, but many are small, and you can stick with a few and keep rotating for weeks without them getting bored, there are also books and things on phones and tablets that work.
18 months to about 4 years is more challenging. They need lots of attention and start getting bored easily. But its not impossible. Build a sense of the outdoors and exploring in them. Go to Libraries, museums, zoos, art galleries (where there are all often activities for small kids, so you don't need to supply stuff yourself!). I'm finding from 4, at pre-school age, my girl is getting quite independent at home, in which case some stuff for her to work on by herself is invaluable. She's good with big-kid lego now, which doesn't take much space really. Yoga is fun. She loves art and drawing... go with exercise books and keep the materials minimalist, teach them to sharpen their good set of ~15-20 pencils and not drop them, teach them to put lids back on their textas so they don't go bad. Books that teach basic writing, numbers, arithmetic, puzzles etc for pre-schoolers are great, cheap, and go a LONG way. At this age they operate tablets really well by themselves, though I try to minimise screen time a bit if I can for now (I think a bit is of course invaluable in building up tech skills and familiarity with technology).
If you are fit, strong and healthy, flexible, moustachian, minimalist, your children will learn to be that too from an early age. I think this is really important.
School is 40 weeks of the year in Australia (and similar elsewhere), leaving 12 weeks for you to be nomadic and travel. Its often possible to take extra weeks off in consultation with teachers. I'm often not sure (personally) if it would be worth being Nomadic entirely and putting my child fully through home schooling, given the extra work on my part to affect the home schooling. Thinking Pareto principle and similar, cost-benefit, etc. (bear in mind I am early on my path towards FIRE and probably won't get there until my daughter is almost finished schooling anyway...so for me this is hypothetical).
