..or travel with your parents ?
I prefer what we did last year.
I went on an LONE4, my parents went on some EK RTW deal. We all left on Aug 5, all returned to Australia the same weekend in Sep.
I went eastwards (North America first), they went west (Asia/Europe first). The nearest we got to each other was half way through the trip, they arrived in New York from Ireland as I was leaving Seattle for London.