Over what areas of the earth would you expect them to orbit?
Short answer: Over all areas except for the poles.
Seen from Earth, a satellite that isn't in a geosynchronous orbit will always move around the earth - so it'll cover every degree of longitude. Latitude is a bit different, the highest latitude a satellite will reach (i.e. the latitude it will be right above) will always be the same as the satellites inclination. I'd assume that starlink satellites won't have inclinations of 90°, wikipedia currently states 81° as the highest inclination.
Based on this and the fact that the satellites will be in low orbits (~550km), the areas close to the geographical poles MIGHT not be covered and everything else will be covered. Unless the signal gets blocked, as it might be the case in deep caves or some buildings.
Source for starlink satellite data: https://en.wikipedia.org/wiki/SpaceX_Starlink