a cold break is probably what your orchids need; my plants usually start spiking around winter break because we turn off the heater when we go out of town
. as for the keikis, you should probably remove them if their roots are long enough. i have a Den Berry Oda that produced three keikis and i potted them with the mother plant and fertilized heavily throughout the summer. the next winter, both the mother plant and one of the keikis flowered
. i am not sure if Den kingianum is as vigorous-growing but i would definitely remove the keikis.