I change all of my own tires myself, including tractor rears.
I use two tire irons (spoons) one straight and one curved. I prefer the straight one.
If you plan to dismount any tires that have been mounted for years you will also need a slide hammer. I find mine to be my most useful tire tool.
I use rim grease on the beads to facilitate mounting and, more importantly, to retard rim rust at the rim/tire interface making future dismounting much easier.