Steve,
Clean up with water - no soap/detergent, as it will remove some of the progesterone - then dip in a disinfectant solution, like chlorhexidine(Nolvasan), dry, and store in a cool dry place.
I have access to an autoclave, so I sterilize mine by autoclaving, and understand from the repro gurus that autoclaving actually helps bring more progesterone to the surface.
We re-use CIDRs one time, then discard them.
Saw a paper a year or two back where they were using OB lube with chlorhexidine in it - Nolvalube or a homemade equivalent - to lubricate the CIDR and insertion gun, and had less vaginal discharge and slightly higher pregnancy rates compared to CIDRS inserted with lube not containing the disinfectant.