What to do with a Cherimoya?

A while back I bought a Cherimoya (Annona cherimola) sapling from a local exotic fruit nursery. At the time, the plant guy said it probably wouldn’t produce fruit because it needed some sort of month to pollinate it. Fast forward to today and the tree is doing quite well and it has lots of fruit on it (moths must be nearby). A few days ago it started dropping fruit. They’re the size of softballs and quite hard. I swear I almost got a concussion from one that dropped on my head.

I’m not really sure what to do with them. I’ve read a couple websites that suggest eating them fresh like any other fruit, but they’re pretty tough. Anyone know how to prepare one?