You dont just wire things in like that. That is asking for a fire to happen. Find a circuit that is large enough to take the load and make sure it is fused. Don't wire them to the same point either.
If you have to ask how to do this sort of thing, it probably not wise doing it.
Twisting and taping wires is asking for trouble. You should be crimping or even better, soldering and heat shrinking connections.