The hot water style will work just fine. Please, please make sure you have at least 6 absorbent bath towels ready. Lay a very large trash bag down first. I have wood floors, but with any floor put that plastic down. Now remember when you open the freezer to pour the hot water in the water will automatically run out through the flap where you used to be able to get ice.
So consider the angle of the door and look where the water will flood out and position plastic and towels in a wide swath and especially under the area where the water will fall.
If you pour in a lot of water into the bin all at once it will come out in a flood and splash over every thing, so be a little careful with how much you pour until you get an idea where the water will fall. I used probably 3 gallons of really hot water, not boiling! The blue release button will eventually work so that you can remove the bin, but I worked it back and forth quite some time before it let go.
Then take the bin to the sink and run hot water in it from top and turn it over and run hot water in from the opposite end to make sure all the frozen ice pieces are melted. Dry it.
Before reinstalling, hold the button on the freezer door frame that turns off the light and press on the lever where you would put your glass for ice to make sure the shaft is turning. Replace the bin and do this same procedure to make sure the auger is turning properly. Remember to put the switch to "on" so ice will start to be made.
I am a 73 year old woman, who likes to fix things without paying an expensive repairman if it is reasonable to do so. If I can do it, you can also.