By the calendar, here's the general schedule of the ideal life of a Christmas Cactus:
Jan - flowering
Feb, Mar - resting (55 degrees, infrequent watering)
Apr, May - water thoroughly when potting mix begins to dry out
Jun, Jul, Aug - place outdoors in a shady spot. (Remember that slugs will seek it out, so protect your plant!)
Sep, Oct - plant prepares to flower. Keep on the dry side and cool until flower buds form. Then increase water and temperature.
Nov, Dec - flowering. Water normally. Temp no lower than 55.
I wouldn't worry about a few sections falling off. In fact, I pull alot of the ends off my cactus to shape it. I would put the plant in a size larger pot, and follow the above instructions. Good luck with your plant.
