Nowadays we are using water container as shown below for drinking water.
Suggest any hack to get water without either bending or this manual motor.
Note that I have to exchange this water container daily with a filled one.
You can use a rubber tube/small hose. Put one end in the water, suck out the air from the other end until the water starts flowing. To stop the water from flowing lift the tube above the level of the water in the tank or block the entrance with something.
There are two problems with the big water jug. First, it's gigantic and cumbersome. Second, the water doesn't pour out smoothly; it splashes everywhere in an uncontrollable "glug glug glug" fashion.
user18894's siphon answer is probably easiest, but you can also use a standard water pitcher as an intermediate container. A water pitcher has a big open top, so it doesn't matter how "inaccurately" the giant jug pours the water out. Once the water is in the manageable pitcher, it has a spout that makes it easy to pour accurately into your small bottles.
It may be useful to use a funnel to pour the water from the pitcher into your water bottles. That will depend on the design of the water pitcher's spout, and on the size of you water bottles' necks.
You can buy taps that fit on the opening of these bottles. Look for "5 Gallon Water Jug Dispenser".
The image also shows a yoke you can place the bottle on. The yoke is easy enough to make yourself from wood. Building a tap that's watertight is a bit more complex: