It is a difficult prospect.
When these articles post about an asteroid coming near earth, they put it in such terms as this one: “roughly eight times the average distance between Earth and the moon.”
The trick will be to use the moon’s gravity to capture it, without having it land on people’s heads here on earth. I’m wondering if it’s possible to transfer a moon-orbiting satellite asteroid into an earth-orbiting satellite asteroid with a nudge here and there.
Just the issue of altering its trajectory accurately, when the object is not a uniform shape is a pretty large.You're talking about applying rather large delta-v to a very massive object. You definitely do not want it in Earth orbit, especially the debris you'd generate in a mining operation LEO is already cluttered enough with garbage. I wouldn't even want to do it in a lunar orbit. We'd need to mine them in the belt. This has been endlessly discussed in various sci-fi, a small percentage of which actually discuss the serious challenges inherent that.
Eventually some smart folks are going to work it out, and will become the richest people who have ever lived.