The heat shield/warming shelf should be easily removeable and prevent damage to them if you screw up and the stove tips to one side or something. A few bolts.
I can't imagine the water reservoir would be terribly difficult to remove, again some bolts.
The grate, etc., should pop right out for cleaning, so take them out. The doors, I don't know. I've removed the doors from two different cookstoves for some repairs and they were not difficult. At least on those two stoves.
I actually completely disassembled a stove similar to this one for rebuilding, couple parts were broken inside. It was a lot of work, but it was a matter of removing a BUNCH of stovebolts. They were covered with years of soot and some had rust. Lots of WD-40 and patience.
But if it were me, I'd remove the back shield and shelf, any doors I could, the reservoir, and the grate. That is about 5% + of the total weight, so not a really big help, but some. Plus, any door handles are then out of danger of being broken off. Plus, you do not want to bent or dent the back shield, any damage will show forever.
I have installed two cookstoves in my house, removing the first one, all by myself. By hand. It was work, but I did it ok, and I am no strongman. I used heavy plywood or boards beneath the feet of the stoves and rolled the thing across 3" steel pipe pieces. I put cardboard and plywood down on the wood floor for the pipe to roll across. I suppose an appliance mover sort of thing might do just as well and be easier than moving the pipes back to front. But I am a lightweight and had no trouble actually moving the stoves once they were up on the boards. I got them up by carefully lifting one end, then the other, with a five-foot pry bar, though anything like that will work. Put some cardboard, or whatever, between the prybar and stove so you don't chip off any enamel, if appropriate.
Getting the stove off my pickup, with, unfortunately, and uphill slant out of the truck bed onto my patio...I used longer 2 x 10 boards [tailgate removed from the truck so it would not be bent]. I hooked up a come-along to the pallet the stove was on and slowly cranked it out, onto the boards, down the boards to the patio. I recommend doing this very, very slowly...took me a couple hours to do it, worried that if anything went wrong, I'd have 700 lb. of iron and steel coming down very hard.
Worked great. A forklift would be nice, but not an option up here on my steep hillside and narrow driveway access. Just be sure to protect the floor and watch the door frame, etc.
To move the stove a bit, to clean or check some stovepipe or whatever, I simply set a little piece of lumber beneath the stove and carefully use that long pry bar to scoot the stove out from the wall a few inches. Takes about three or four minutes. The lumber is to put the end of the pry bar on so it does not dent the floor.
By the way, for anyone looking for a wood cookstove, new or used or antique, the largest firebox you can get is your very good friend. Some gorgeous stoves have these tiny little fireboxes and you will be attending the fire several times an hour until the oven is heated up enough.
