It can be a very expensive and time consuming process.
The first thing you need to do is get an Import/Export license. After you have the license you need to apply for CITES export permits for the total number of animals you have. All of that costs money.
Once you have your license and the CITES you will need to arrange shipping through an airline and you will have to take the animals to a designated port in your region. You can't ship from all airports. There is a Fish & Wildlife inspection and there are very specific rules for how animals must be packaged for shipping.
It is a bureaucratic process, for sure, but if the size of the order is sufficient ($$$) it can be worth the pain. The costs associated with the export can be significant; licenses, permits, inspection fees, travel, airline charges, VAT (taxes), etc. It is pretty much expected that all of those costs will be paid by the person to whom the animals are being shipped. They need to be prepared for that.
Unfortunately, because of the costs, the paperwork and the effort involved, most people don't bother trying to ship to other countries. Even some of the larger breeders choose to go through brokers rather than get involved in the process.
Regards,