Which asteroids are likely targets for a mining base?

So humanity has finally overcome the economic problems with asteroid mining, not to mention setting up colonies elsewhere in the solar system. Some are dragging the low-hanging fruit into near-Earth space for easy plundering, but others are off to set up in situ mining operations on asteroids.

Where do they go?

The practicalities of building such a mining base are not at issue; they could be manned or robotic, orbital or surface-based, whatever. The issue is being accessible to spacecraft travelling, at least somewhat regularly, to the homeworld or our other solar-system colonies. Space flight doesn't have to be hard science, but should be a little bit more science-based than your average "planets are always right where we left them" space opera.

I don't know a lot about the issues. One thing I have read is that objects like 2 Pallas with too high an inclination are much harder to get to reliably. But there are bound to be other issues. What suitable bodies are out there for us to set up on?