Moving workspaces is easy enough - just copy the workspace folder and all of its contents (i.e. the rm2db file and all sub folders).
Sonar logs are a little trickier because RM expects to find them in the same place from which they were imported. Although it is possible to update the location file-by-file, this could be time consuming. The easiest option is to copy log files to the same relative location on the new computer. E.g. if you had log files in c:\sonar_logs, then make a directory with the same name and disk location and copy your logs there. Note that access to original sonar logs is only required when viewing sonar or creating sidescan mosaics.