I pick up all of my rats by the tail. They are used to it and they don't make a fuss. They come to me and wait to be picked up and moved when I'm cleaning.
I always try to grab the tail as close to the base as possible and it's never more than the time it takes to go from one tub to another. My rats never bite. They never even try. I only had one rat when I first started that was a biting fool, God rest her soul.