Perhaps you have two problems, the first - the child asks him to arrange a swing and the second, you do not know what to do with old tires, these difficult questions can be solved in one fell swoop.
Build a swing for the child from the old car tire. For example, such a portable version with pens, as in the photo, is called "A holiday that is always with you." The starting material is half the tire and the board.
Put these swings in any place, even in a cozy shade in the garden, even in the yard, in the rain, you can bring it to the veranda.