Buy ripe or nearly ripe peaches. If they’re very hard, they are likely picked green and won’t develop the right taste or texture.
When you get home, inspect each piece of fruit. A split or bruise means the peach will go bad quickly and ruin any peach it touches. Eat or preserve these right away.
Peaches can be stored touching other peaches, but they shouldn’t touch other types of fruit.
While peaches can keep on the counter for a few days, buy only as many as you can eat (or preserve).
To prolong freshness, you can store peaches in the crisper, but only for a few days. Just put them directly in the crisper. Don’t put them in a bag.