try to put all AI civs to war with you asap.
this cuts down their research and econ as they will pump out useless troops. especially with the greeks you can survive this easy with your hoplites right at the start.
i normally declare war to any ai civ i encounter and never go to peace (mostly i play the game with monarchy/republic/communism) with them. democracy is a nice econ and research boost, but this forced peace dosnt fit in my personal tactic

normally i stay on top in tech and econ while getting great persons with spies to ensure my culture and again cut this down to the ai