I wouldn't wire them directly into your headlights. You could just wire them into a relay so they come on when the headlights are on.
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Tap into the power line and ground going from your headlights. Use T-Taps. Going into the headlights you’ll get switched power (it turns on and off when you turn the key). That’s an LED so it shouldn’t draw too much power but little scooters don’t have much of an electrical system. They can barely start the bike as is.
You have to be careful about adding additional lighting to existing circuits. Some of these China machines use flimsy enough wires and switches that they be maxed out already. Headlights are usually the second largest load after the starter, and the starter gets special attention on wiring.
LED's are usually a good replacement because of lower power draw but your have to check the specs carefully. Some LED kits are as big of power hogs as the factory lights.
If you are replacing the stock light, then maybe. If you are installing these in addition to the stock light, I'd say no don't wire them into the existing circuit.
The hi/lo switch may work out well for you. It depends what you want. The new lights may not have high and low, but it looks like there's an LED halo around the light. In that case, you could wire whichever color corresponds with the main light to low or high and the halo light to the other. So for example, you could switch to low beam for the halo only. That may serve as a good DRL. Then switch to high beam to turn the main light on. The only negative would be that you wouldn't be able to use the halo and main light together that way without additional wiring/switching. Most likely you'd have no need to use both lights together though and it can be a good way to reduce power consumption in the daytime.