C++ :: 2D Game - How To Handle Drawing Order Of Object Visibility

In 2D games, what's the best way to handle the order of drawing objects? Because most games have a background, tiles to be drawn behind the player, perhaps tiles to be drawn covering up the player, etc. My point is, with my current setup of simply looping through all objects and drawing, I have no control over what objects are drawn on top of or behind the others. My best idea so far is to hold a vector of object pointers, each vector representing a different "visibility level", like so:

class Level{
//...
std::vector<Object> allObjectInstances;
std::vector<Object*> visibilityOne; //background objects
std::vector<Object*> visibilityTwo; //objects in front of background but not necessarily all the way in front
//and so on for more objects
};

If I go through with this, I'm wondering how I could loop through all my objects and add them to each vector, then shorten whatever I have to loop through for subsequent visibility vectors. handling the order of drawing objects?