Related: How would our weather change in the event of a magnetic pole shift?

If the poles shift we will have to ride out the transition as best we can. I am not aware of any major extinction event being associated with prior pole shifts, but I could be wrong. You also have to consider when the poles shift the magnetic fields that induce the current magnetic anomolies will be different or missing so you wouldn't be able to depend your chosen location being safe.

So unless you want to live underground I don't believe there are areas where the local magnetic fields will protect you from cosmic radiation.

Naturally occuring neodymium ore is usually in the form of minerals such as bastnäsite (a rare earth carbonate) or monazite (rare earth phosphate) that are not magnetic.

It gets even worse!

Even if by some force of magic the rare earth ore would protect you from cosmic radiation, you now have two problems:

1. Most rare earth ore also has significant amounts of the radioactive thorium and uranium. You do not want to live in these areas, as any "protection" from cosmic radiation will be more than compensated for by the background radiation of the place you are now living in.
2. These are not nice places to live in. The three operating or recently operating rare earth extraction operations (aka mines) are in the desert. Bayan Obo in China, Mount Weld in Australia, and Mountain Pass in the United States.

But those particles for which this shielding works on the Moon are already 100% shielded from the Earth surface through Earth's internal dipole field and through its atmosphere.