Wiring LEDs in parallel is the standard way of doing it. With higher voltage batteries it's better to wire several LEDs in series with one resistor to make a string, and then several strings in parallel. Each string needs its own resistor though.
If you already are putting a lipo in your blaster, it's totally fine to run them off of that battery. You don't need a voltage regulator. Note that the LEDs will dim when the battery is under heavy load.