Be sure to consider how far and how convenient it will be for you to travel to your job or your school or your family and friends. Also, how far is the apartment from stores, banks, hospitals, Church (if you attend) etc. If you have a car, make sure that there is adequate and convenient parking space 24/7. If you don`t drive make sure that there is close by public transportation.
Once you have located your "dream apartment", or as close to your perfect apartment as possible, now it is necessary to pay extremely close attention to the particulars of the rental agreement. An Apartment Lease is a contract between you and the landlord. Once agreed upon and signed by the tenant and the landlord, the rental lease creates obligations and restrictions for both parties. The most obvious covenants of the apartment lease are the length of the rental, (Six month lease, one year lease, two year lease, etc.) The amount of the security deposit, when the rent is due, who is responsible for what utilities. Also in that apartment lease, however, are stipulations, (sometimes in small print) that can cover a great variety of landlord and tenant obligations and restrictions.
If you are familiar with the area and its neighborhoods, that gives you a distinct advantage for your apartment search. If, however, you are relocating to a new city or are not particularly knowledgeable about the city, you may want to contact an Apartment Locator or an Apartment Finder.