i am moveing from my present apartment is there a specific time to be out?

Answer 1

Check your lease or talk to your landlord. Some leases have clauses about notices to vacate and the length of time you have to provide the owner/management before you move out.

Answer 2

Generally before the end of the month your rent expires, presuming you've given adequate notice (generally a full rent period, but varies by state and your lease).

It's a good idea to talk to the landlord, and set a mutually agreeable date and time.