Every person has their first time towing. There are quite a few threads here and on other forums to get common sense advice and you should make it a point of reading them, and asking questions to make sure you are clear on the key points.
Taking your time, being cautious, and making sure your equipment is in good condition is a good start.
Once you've towed your Airstream a few days you will realize that it is tiring, but exhileratting as well.
Make sure you practice backing up and parking it - go find a big empty parking lot and practice, practice, practice.
A buddy's wife wanted to take their SOB to a dog show and he couldn't go. She took a day's course, I think it cost $200 but can't remember exactly, it was in 2002. They taught her how to hook up and unhook, how to tow and how to back up. When she came home she backed their trailer down the long curvy driveway and dropped it right in to the spot it sits, first time. Hubby usually took several attempts and vocalizing his frustration through the process. I admit, it was humbling for him
. And of course it was a source of considerable glee to those of us who found out.
So, consider checking around at the RV dealerships and driving schools to see if they offer a course and what the fees are. Probably be one of the best investments you can make for the safety of your and your fur-kids.