That was good advice
I brought a dog here.
I went to the Vet, got the necessary health check and a document from him that the dog was in good shpe and had his vaccinations up to date ( "Books" jingled like a reindeer with all his tags) .
I went to the Dominican Consulate in NYC and got the Vet's Certificate of Health, certified...paid like $10 for the stamps.
Called the airline, made reservations, told them I was travelling with a dog. When I got to Kennedy, they (AA) provided a travel cage-I paid for it-and checked the dog through.
This was in March, so heat was not a problem. When we arrived, I picked up the dog, showed the Inspector the certificates and on we went. It is not a major problem, you just have to have the paperwork handy.
I certainly would not show up with no paperwork....
HB