There are several removal companies that offer this service. The price depends upon the cubic metre capacity of the container. To shop around for quotes would be the best route to follow. We can provide you with several contact numbers.
There are no harsh requirements on bringing pets into the country if you have a UK veterinary certificate stating that the animal has not got any infectious diseases, and has had all relevant injections. This needs to be presented to the Ministry of Agriculture. The quarantine period is 4 weeks. Bear in mind that you would have to look after your pet whilst it is in quarantine as this service is not offered.