There might be plenty of Full Moon Meditation. Does not matter which version you are doing as long as you are doing it intelligently. The energy of Full Moon is little bit heavy.
The reason of Full Moon Meditation is to channel its magnetizing energy. Everything get magnetize when the moon comes into its fullest shape, from negative karma, negative emotions & thoughts to good karma, prayers, tithing & donations.
In the full moon meditation proposed by Master Choa Kok Sui, the purpose is to bless all the sentient beings in all eight directions, above & below by chanting the mantras of OM MANI PADME HUM.
This is the very powerful mantra of compassion & mercy. The mantra of Buddhi Kuan Yin, the goddess of Love & making the wish true.
After this meditation is much recommended to write your wishes & channel the energy of your meditation to them. Meditations like Full Moon are better to be done in the group.