I have moved a few bikes using a bike specific trailer and one thing I will say is don't use cheap ratchet straps, they break. Fortunately for me no damage
to the bike (twice). I now have the motad handlebar straps which are superb.
Put straps on both ends of your handle bars, securing to the trailer on the hooks that are almost below your grips and slightly forward. For extra piece of mind remove your seat and put a strap over the back with the straps over the frame, this way your seat won't get damaged.
Don't crank the front end right down, leave a little 'give' in your suspension. I always stop after a few miles just to check for movement, good luck and take it easy.
I am assuming you have a friend to help you.
The usual disclaimer applies to this post as I will not be liable for anything that could or may happen during loading or transportation.