MoveAnything was just updated and is now remembering moved frame positions once again. It works for moving the new objectives window now. Just create a keybinding for the option to "Move Frame (safe)" under the "MoveAnything" section in the Keybindings menu. Then hover over the drop down arrow and press the key, move where you want, press the key again to lock it in place. You can also resize it this way too, just drag the little boxes around once you initiated the moving process.
Here's an image (look at top left corner):
