Check all weather stripping & caulking around windows & doors.
Check outside house for cracked or peeled paint; caulk & repaint as necessary.
Remove, clean, & store storm windows (if removable type).
Check all door & window screens; patch/replace as needed; put screens up.
Replace filters on air conditioners.
Check & clean dryer vent, stove hood, & room fans; change or clean filters on furnace.
Check seals on refrigerator & freezer; clean refrigerator coils; clean burner surfaces; adjust burners.
Clean fireplace; leave damper open for improved ventilation if home is not air conditioned.
Check basement walls & floors for dampness; if too moist, remedy as appropriate.
Clean dehumidifier according to manufacturer's instructions.
Check for leaky faucets; replace washers as necessary.
Check attic for proper ventilation; open vents.
Clean drapes & blinds; repair as needed.