To share these within your organization you can centralize the .bcf files in a network accessible location. Using the adjust the location, name and order of the list and choose Ok to save. The profile information is stored locally in the "Model Review.config" file, to get multiple users to have the same file you will need to copy this locally for each user in the installation folder (default location: c:\Program Files\Autodesk\Model Review). The use of a start-up .bat file is the most common methodology for doing this.
To use a combination of local and network .bcf files the process is similar to above. If a check file needs to be local for everyone you will need to copy each to the users in addition to the .config file as shown above.