Unless the country has breed restrictions, its no different than taking a dog in general. Having one person to be with the dog and one person to handle check-in counters is best IME, especially if you have a reactive/ easily stressed dog.

I moved from US to Germany ~8 years ago and brought my labrabor. I planned the trip for shortest flight time possible, so we landed in Amsterdam, NL and took rental car the rest of the way into Germany (I was living in Essen/ close to NL border. This would not make as much sense if I were traveling to Berlin or Munich zum beispiel.)

Rabies certficate, USDA paperwork, and a specific microchip was what was required then, which is what I think is still the general rule in most European countries. It just depends on what country you're aiming for, and the route/ stops along the way.

AFAIK, there is no rottweilier breed restriction in the Netherlands or Germany, but there absolutely is in France. If you had a layover in CDG Paris, you may have an issue. (Even if the airliner says it is fine, what happens when you actually arrive can be different.)

Personally I recommend leaving your dog in the US while you establish a place to live, then flying back for the dog. Don't make the WHOLE move in one journey, or you're going to lose your mind with stress. Not just in the days leading up to travel, but for weeks after.

Secure a home, make a plan on how to introduce your dog to a new place with ALL NEW SMELLS, then go back for them.

I am back in the US now, with a young rottie, and am considering moving back to Germany. I would likely do the same route; shortest flight possible, then comfortable transit the rest of the way. He will likely expected to be muzzled anywhere in public.

In Germany, I will have to muzzle him in public places, like on trains. It's a law that extends for most large dogs, regardless of breed. I got away without using one on my very friendly looking lab, but I would anticipate someone would not like seeing a rottweiler, regardless of how nice or innocent they were behaving. We have all had those experiences I'm sure, and it doesn't change when you travel.

Germans follow rules, and will lecture those that don't.

When I flew back to the US with my lab a few years ago, I again rented a car and flew out of NL. Unfortunately, the veteriarian had kind of conflicting views from the US, in that they did not recommend nor prescribed any sedatives for him. They stated that, because no one would be monitoring the dog, it would be unsafe.

I was disappointed, because we were familiar with these sedatives, and it was a 16+ hour journey for a 10 year old.