Your confusion can be met with a practical scenario. You know that it'e the electrical energy that is carried from the battery to the load by the electrons. A connection wire has very good conductivity. A resistor obstructs the flow of current. Inside the resistor, the electrons lose their energy in the form of heat due to collisions with the atoms and only the remaining energy is passed through the load. This is why some potential drop occurs across a resistor. Now let's go to the everyday scenario.
Imagine the flow of water through a small river that has many branches. the water is flowing with some energy, which can be accounted as it's kinetic energy. Now, let there be some obstacles in it's way. The same amount of water passes through it, but the flow of water get reduced as the water loses it's kinetic energy due to collisions. Now there are two branches of the river. The amount of water flowing through branch 1 will depend on how much resistance the water has to face through branch 2. (It's the potential divider rule). If more resistance is at branch 2, then only a little water flows through there and more of it flows through branch 1.
This is the case that happens in an electric circuit. The battery is the electrical energy source. The resistor is used to cut off some energy from it. In each details explained below, think in analogy about the flow of water in the river illustrated above.
When you connect two resistors in series, then the same current flows through them. Current is the no. of charges (not the amount of charges) flowing through a point in unit time. Since the electrons have no other way to go, they go through the resistors. The resistors could slow down the electrons. But it cannot block some of the electrons. So the current is the same. But due to the presence of resistors, the electron loses some of it's energy gained from the battery there which appears as heat in the resistor. So, at the first resistor, the electrons lose some energy and the remaining energy goes to the second resistor. There also, it loses some energy again.
Now, if you connect the resistors in parallel, the path of the electrons on reaching a point get split into two paths and then again meet at some other point. As in the case of river, now the current has got two paths for flowing. The splitting up of current depends on the value of the the resistances. The amount of current flowing through resistance 1 will be determined by the resistance 2. If resistance 2 has more resistance than the first, then more electrons will go through first and vice versa. So the potential difference between the two points will be the same, but the current will be different and it has to be so as per Ohm's law.