From the dept of agriculture website... as a new user i can't post the link
but it is agriculture gov ie pets
Cats, Dogs or Ferrets into or out of Ireland:
Pet Cats, dogs or ferrets accompanied by their owner - Non-commercial movement
Cats, dogs or ferrets to/from other Member states of the EU.
Persons travelling on holiday or to permanently locate their residence (or other non-commercial movement where there is no sale or change of ownership involved) to/ from Ireland to/from another EU Member States may bring their pet cat, dog, or ferret with them provided the following conditions are met:
The pet must be identified by a microchip* (a transponder readable by a device compatible with ISO standard 11785);
The animal must be accompanied by an EU Pet Passport* in respect of the animal which demonstrates that the animal is currently immunized against rabies and in cases where a dog is being brought in from countries other than Finland, Malta or the UK, that it has been treated against Echinococcus multilocularis (tapeworm) not more than 120 hours (5 days) and not less than 24 hours (1 day) prior to scheduled arrival time in Ireland;
In cases where the number of animals being moved exceeds 5, a veterinary health certificate to demonstrate that the animals have been clinically examined within 48 hours of departure is also required unless the owner can show proof that the animals are being brought to compete in a sporting event or other competition"
It is a requirement to have the passport and shot and there are pretty harsh penalties for not having them, personally I can't take the risk with my dogs that they could be taken off me