I'm going through the same exact scenario, and from my research, there are a couple of options. First, there are different companies that are designed to help people move with pets. While most of the ones I found didn't answer, one did, although they may be quite a bit out of your price range, starting at $3,000 to move from Colorado to Spain, although they do pretty much take care of everything. That was way to expensive for me though, so I decided to take the manual route. Here is a government website with all the rules, regulations, requirements, etc. for bring a pet from the US to a different country:
https://www.aphis.usda.gov/aphis/pet-travel/take-pet-to-foreign-country
You'll have to check to see if you can bring a beardie into the country you're going to. If you can, the requirements are listed there, which can differ, but I think that most countries, if not all, require you to get a health certificate issued by a USDA Accredited Veterinarian, and then it has to get a USDA endorsement. You'll have to look in your area for a place that does that and also for a vet that is USDA Accredited and accepts reptiles. I think you can just call to ask if they are accredited if it doesn't say so on the website or something. The vet's fees vary, but I think the endorsement is about $40 or something. Then, you'll have to find a way to actually transport the reptile. What I ended up deciding on was the Live Animal Cargo in American Airlines, since that ended up being one of the only options I found, but there are probably other ways too, depending on which country you're moving to. It costs almost $700, but it's cheaper than the $3,000, and it's the cheapest I could find. I haven't actually moved yet, so I don't really have any experience, but this is just what I have found while looking for ways to transport my Marta. I hope this helps and you are able to move with your beardie!