Hm. The only real experience I have with property management, is wherein the tenants left us messes to clean up! Now, being a former and current tenant and renter though, I would ask the LL how they want you to go about cleaning. They might want to show the apartment in the beginning of Feb; or they may plan on cleaning it that month.. it is hard to tell.
I hate renting! I love where we live, but we are paying our LL's danged mortgage payment. I can't wait to buy a house in a few years, so I feel ya there!