With tradition, between 3-5 own cities. With liberty, between 5-7 depending on room and available luxury resources. If you do take a liberty approach, grab messenger god to negate science penalty and expand moderately if there is room. It worked for my Inca King game.
As for honor and piety starts, expanding early is needed to bolster military production and religious building benefits respectively.
I also second Jon's specific approaches to Austria and Venice, as well as city annexing and razing, but when razing, be wary of other AI's attempting to expand again over the new space, as well as barbarians.