I know it has been posted before....buy lots of cleaning products!

I love Simple Green, it kicks butt!!!

We thought the house we just bought was so clean, but it wasn't. The kitchen was the nastiest. My mom (I have the best mom and dad in the world, jmo) took two full days cleaning the kitchen and she is still not done. Oh the joys of homeowner-ship

I know I have posted this too! We had the same issue
My advice, go out before your closing, get sponges, somthing to scrub cabinets etc with, a mop, a broom, windex, mr. clean floor cleaner (I love the smell of the orange), tilex for the bathroom, and anything else you can think of. You will need every type of cleaner known to man! we too thought we had a clean house, our homeowners claimed to be neat freaks, well apparently we have different version of clean than they do! Cleaning products are sooo worth the money!
Also a good buy, the clorex wet mop! I love it for a quick clean up! and its cheaper than the swiffer! You still have to mop every so often but this is great for spots (we have white ceramic tiles that show everything) that appear throughout the week!!!

My FW loves the Fantastik with Bleach. She can go through a whole container of that in a few weeks.... easy.

On a dirty apartment that you are just moving in... i am sure she can use the whole bottle that day!