There's a ton of info in this section that's available on crushed coral beds and changing over to oolitic sand, for example. You might want to consider changing over to sand because of all the trapped nitrates CC can cause.
If your bed has been established for some time, maybe consider changing over small portions of it at a time. Have a QT tank ready in case there's hydrogen sulfide gas trapped in your bed. You don't want to disturb it all at once unless you're going to get everything out, QT everything, and change it all at in one fell swoop.