An appropriately sized wrench to remove the tire and rim, (probably 1/2", 13mm, 14mm, or 9/16") and then the tool iceng outlines. Those come in tire repair kits you can pick up for a few bucks at a bike store or a bit less at Walmart and the like. Obviously you'll also need a pump or air compressor.
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Technically - an adjustable spanner, 2 forks or spoons and a pump.
I used these to change my tires in the past. There are fat plastic versions I don't like.
You use these as pry-bars anchoring them to a spoke, then using the second one and then the third releases the second which becomes the third etc until the tire is off the rim..
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There is a little plastic flat blade tire changing tool that you can use to get the tire on and off easier. Any bike shop and probably most places you can buy a tire will probably have one, if there isn't one included with the new tire.
Mostly you just don't want to pinch the tube with the tire wall.