Take all nails and screws out of the walls and ceiling and putty them smoothly.
.Dust the ceiling fixtures.
.Dust all ledges.
.Clean the windows.
.Clean the door knobs and doors.
.Clean all light switches and outlets.
.Clean the walls and baseboards.
.Get rid of all cobwebs.
.Get soap scum off the bathroom tiles and tub/shower and bleach the grout.
.Clean out the bathroom drawers and vanity, making sure you get all the hair out (and remove any liners).
.Clean the toilet, sink, countertop and mirrors.
.Then mop from the furthest point out to the door.