We are doing it with a 12 year old and a 3 year old. We move every 1-3 weeks. As a family, it works well for us. If you're on Facebook, look up the "Fulltime Families" group - you'll find MANY families just like yours who are considering it or doing it.
Our kids are roadschooled and don't have the "changing schools" aspect of Old-Buscuit's experience. They've made friends with other fulltime families on the road and have built meaningful relationships with them - we just may not see the same set of kids week after week. But they text/email/video chat between visits and when they do get back together, it's like no time passed at all. I don't discount Old-Biscuit's experience, but I do believe that it's not all like that.