Charlie:
I got an Uberti Walker that I have been fine tuning and playing with for most of the last six months. Really impressed with it! Yes, the barrel wedge goes in from the right side on the Walker - left side on most of the Colts there after (something that I forgot about on an earlier post on this subject but, I digress....). If you fully disassemble your Remington for cleaning I don't believe you would have any trouble with the Colt. The barrel and loading arm come off in one piece. Push the barrel wedge through to the right side - if new it may take a little assistance, put the hammer and cylinder in the half cock position then pivot the loading arm, this will lever the barrel assembly from the frame, the cylinder then comes off of its axel. To disassemble further, loosen and finally remove the three screws that hold the grip back strap in place, this piece is under tension from the main spring. I find that loosening each simultaneously keeps it from binding. Then remove the grips. Remove the mainspring from under the hammer by depressing it and moving it downward on the slot it rides on the brass trigger housing. Remove the three screws from the brass trigger housing, then remove it and the housing. Remove the large headed screw that hold the trigger and cylinder lock spring in place, remove from the side the screws that hold the cylinder lock and trigger in place, finally remove the hammer screw and pull the hammer and cylinder rotating hand from the frame. You are pretty well stripped down by this point. Not very hard to re-assemble though I do have trouble at times depressing that main spring to get it up under the hammer notch.
A disclaimer here - the above is in my own words, describing parts in my own fashion. These descriptions may not square with the traditional descriptions of these parts or processes, however if I was having to describe in words to someone how to take apart a Walker - this is it.
Finally, there is an old post on p-cap site called "Uberti Walker Colt Questions" that I submitted back in February. I had a lot of responses from some guys who know these weapons inside and out, you need to check that post out, a lot of pictures, and ballistic information and links were included there.
Hope this helps - enjoy your "Hand Howitzer"!