My Vry Good Professor,
I can only Echo (Echo) the experiences shared by Blair. With a Slight caveat however. When I do/did (I retired, remember?) barrel removal on Uberti Brass Rifles, I remove(d) all the action internals and put em inna box. Having ones fecal matter consolidated is
important. Of course, it also helps to remember where you put the box
I then took a stick of hard maple, and cut one end to the exact dimensions as the mortice for the Carrier Block. Some, conversant with woodworking would also call that a tennon. I also wrapped an alle Gator clamp around the stick next to the small part to prevent splitting. Chuck the barrel up in a padded vise, put the stick in the mortice and twist the action off the barrel.
As an addendum as it were, I have also done the dastardly deed the other way around. Chucked the receiver in the padded vice and turned the barrel off wid a big wench - ah - er - wrench it was, yes. I also found that method an excellent way to remove the extractor from the Breach Block. Unintended it may have been, but, very effective. (I don't wanna talk about it)
Coffinmaker