Repotting large cymbidium

[LindaG]

I have a large cymbidium in about a 16" pot - when I repotted it about 3 summers ago, I just moved it to a bigger pot and it bloomed beautifully 2 winters in a row. However this year didnt bloom - It has 9 or 10 fat green p/bulbs and many dried ones. I can see about 3 spots that I could divide it - except I always chicken out when I cut things. Dare I divide it into 3? What kind of medium should I use? How many of the old dried up bulbs do I keep? It's almost too big to handle at the moment. so will have to wait until the weather warms up - March or April maybe. Any advice appreciated!