Culture tips for conquered city

Land is power. But often times, when i take another civ's land aka taking their city, that fresh city will always got conquered culturally by enemies city, resulting to limiting my workable tile in that city or in a bad scenario, the city is revolt. I know we can simply just taking more space by destroying or taking another city near it, but is there no other way to do it? I always winning my War (noble) but with producing more backup soldier meaning my civ will be underdeveloped. Now the question is, is there a way to make this work out without wiping their entire civ? Or that fresh city will be like that for the rest of the game?