Similarly, for charges. And if one charged object is attached to something bigger, it is even less likely that it will move. Another example you may want to think of are the forces acting between magnets. Magnets have a magnetic north pole and a magnetic south pole. If you bring two identical poles together they repel, if you bring two opposite poles together they attract each other.
Charged objects do the same thing.
Now to the meaning of the electric field lines. The field lines surrounding charged objects indicate the path which a tiny object with a tiny charge would take if it would be inserted into the field. If the tiny object has a small positive charge, it would move in the direction of the arrow on the line on which it was put. If the tiny object has a small negative charge, it would follow the same line, but in the opposite direction, against the direction of the arrows. I hope this answer clarified some of the questions you raised.