I have a Shirley 24x36 sitting on my back Patio and a new one with Warmer, etc. on order so I'm committed to Shirleys.
If you need to move a smoker around, as you've indicated, keep in mind what wheels they have on their smokers. The standard wheels/tires on a Shirley 24x36 are 10" pneumatic casters on front and 16" "boat wheels" out back so they will roll fairly easily over grass, etc. I don't think the others you mention have casters/wheels anywhere near that large.
For the Shirley, keep in mind that the rear axle is about 42" wide and I know that has caused issues with going through fence gates in the past. I think that Shirley can shorten that axle, but don't know what they charge to do it.
While a Shirley can be moved around, they do weigh in at about 800+ lbs. and it takes some muscle to get them up ramps, etc. I borrow my neighbor's hunting buggy with a
winch to get mine up and down the ramps I put on the edge of my Patio as it sits about 18" above grade. I also see that the trailer used by Kevin White to deliver Shirleys is also equipped with a big winch on the front so that may not make it to feasible to move any of these cookers around without a lot of muscle on both ends of the trip.