there have been a few threads on here about it you can search for, but sounds like though you are on the right track. i think the main thing is if they travel as cargo it can take some hours for them to be released, so consider that. and make sure you are clear on your airline's rules.
govt rules are here
[Income with dogs and/or cats](https://www.argentina.gob.ar/income-dogs-andor-cats){.btn.btn-primary} Las personas que desean ingresar a la Argentina con caninos y/o felinos domésticos (Canis lupus familiaris y Felis silvestris catus, respectivamente) deben contar con el Certificado Veterinario...
www.argentina.gob.ar