For our last move, I bought a new sponge mop head and mopped my walls with sugar soap and then used a magic eraser for spot cleaning afterwards. They came up so well.
Magic erasers are awesome- they'll get rid of anything.
If your bathrooms smell "bleachy" it gives off a clean vibe.
Make sure there's no dead insects in light fittings!
Give the rangehood filter a really good soak in dishwashing water. Bicarb and vinegar is great for cleaning the kitchen.
Almost miraculously we got every cent back from our last bond which was incredible since we had 3 kids under 5 living with us in a 2 bed unit!