You can sync call logs between Macs with "PhoneLog Pro" and iPhones or iPads with "PhoneLog for iPhone & iPad", or any combination of the two. There are two methods that you can use:
Syncing using Apple's iCloud is not supported at this time, but is a possible future enhancement. Please send a feedback email if you are keen to see this capability implemented.
Note that most, but not all, features are available for call logs that you sync. Please see the features page for exact details.