Go to the point settings, on the "Update" tab, and check "Allow points to be MOVE'd in drawing". This lets you use the standard move and rotate commands to move your selected points around.
You'll probably also want to check "Update point database after move command". Otherwise, you'll need to run "Check Points - Update Project" after you finish moving your points. Warning: if you move a lot of points at once and have "Update point database" checked, Autocad may hang or crash on you.
(Note: you can even use Mirror to mirror points, if you delete your source objects. You have to also run "Check Points - Update Project" manually, even if you have "Update point database after MOVE" selected; Autocad doesn't seem to expect you to use mirror in this way. It can be useful sometimes, such as if the owner decides he wants to mirror the layout of a house after you already set all the points for staking it.)
If you want to change point descriptions, you can change whole groups at once by selecting them in the Edit Points window and right-clicking on the description field. You can also export points to txt or csv, open the file in Excel or Word and use their text-editing features, then import the points back into the project...
