You should have no problem bringing them in. The biggest problem is finding the right airline to use. Just be sure to do all the required stuff beforehand. Timing is important on some of the items. Like vaccinations, health certificate, import permit. Also when I brought mine, quite a long time ago, I had to pay a 1,000 baht fee for each dog.
The Thai embassy website in your home country should have a page with all the requirements.
Here is one example: https://thaiembdc.org/2022/05/23/bringing-pets-to-thailand-2/
You're veterinarian you should be able to look up vaccination requirements too. Leptospirosis is a vaccination needed and at least in the US is not commonly given.
When I came I used United airlines. They allowed dogs in the cabin if they were small enough to fit in a case that fits under the seat. But if they check and think your dogs is too big for that case they will require you to get a larger dog crate and keep it in the baggage compartment. But check first everything might have changed by now. You definitely need to let the airline know well beforehand you are bringing dogs. Most airlines have restrictions on how many dogs they allow on a flight.