It's already possible to move to another city mid-game. Esc > Move CityBtw @Vinfamy, is possible to see your child to grow up and as part of your family tree/contacts in future updates? Also if its possible to travel or move to another parts of the world? It will be really cool without the need to start new character and just transfer your character to new location. (added bonus to a whole new "Foreigner in a new place" scenario)
On child grow-up, I'll look into it for 1.10 - there would need to be a setting option for child growth duration multiplier (like pregnancy duration) I think because I doubt anyone actually plays a save for more than 18 years in game. For now, you can manually add a son/ daughter in the Contacts menu a while after giving birth.