A general health certificate wouldnt hurt to have to show any one wanting to know the health of your animals but seeing how you are not leaving them in the state you are going to, Id have to say there is no requirement.
After looking at the goat the Vet calls the state you are going to and gets a certification number. The certificate is only good for 30 days. We live in north Idaho and spend alot of time in Montana. These certificates can add up financially, but at least the money is going to my vet, who is a good lady, and not the state.