Fulton County is large, running from the North, which is the old Milton County districts including Johns Creek and Sandy Springs down through Buckhead, which is expensive, Midtown, Downtown and on the south end is the old Fulton County Stadium area which includes the Atlanta Braves Turner Field. Moving your household to Atlanta and staying in Fulton County gives you a wide range of options.
Areas improving rapidly include midtown and the southwest Virginia Highland and Little Five Points Areas. You really have to hunt for bargains, as for example in prime real estate areas of the largely residential Virginia Highland district (west of Moreland Ave. is Fulton County) land can range from less than $100k to over a million per acre, depending on which block it is on.
If you do not need to live in the city, North Fulton, as well as Gwinnett and Cobb Counties offer affordable apartment living on the Northern Perimeter. On the other hand, if by ‘still in school’ you are considering Georgia State U., you should look at West Dekalb County along Interstate 20. Again, along Moreland Avenue there are some still attractively priced but rapidly improving areas.
Although Mayor Shirley Franklin (since term limited out) was attempting to increase the residential populations in the downtown area housing there is not readily available as it is in midtown or east of downtown and midtown. Also, downtown Atlanta has a vagrancy problem akin to other cities. Crime generally decreases, and grade school quality improves as you go north in Fulton County.
Largish apartments start around $1350, but in North Fulton there may be some bargains, and there are for sure some better deals in Gwinnett and Cobb counties.
One hip new area is Atlantic Station. Very close to Georgia Tech University, it is also rapid transit accessible with Georgia State University. The down side is that housing here jumps almost 50% higher in cost, but it might be a good starting point. There is parking included with most apartments, but your parking space may be somewhat of a hike from your front door.
The subway covers a good bit of Fulton County north to south. From Atlantic Station, you can hike or take a shuttle to the Marta (subway) station at their Arts Center station. On a nice day you would skip the shuttle and take a nice urban 1/2 mile walk.
Marta also goes through the Northside / St. Joseph hospital district, which, if that is a career path you fit into, offers tons of employment. It continues up to Sandy Springs and Dunwoody, which are another possible place to live. You will find less expensive housing in Sandy Springs and if you can work the health sciences jobs, this is a definite place to look. Upscale Sandy Springs apartments can run $1600 a month, very roomy, usually over 1100 square feet.
Less trendy and less convenient apartments north of the hospital district (two bedroom) can be as little as $1100 a month.
Jobs. Buckhead features a lot of financial jobs, Midtown and downtown are full of lawyers, and there are banking jobs in Downtown, Midtown, Atlantic Station and Buckhead. Software careers are abundant further north, starting in Sandy Springs but getting really varied north of Marta in Roswell and Alpharetta Georgia.
Back in the city, science and University jobs constantly available from Georgia Tech, Georgia State University, Emory University, Center for Disease Control and Oglethorpe just to name a few. CDC positions, with the proper credentials can start in excess of 50k, so with two of you working it would make ends meet quite well.
In short, Fulton County, north to south really consists of five major city centers, the sprawling and bland Alpharetta / Roswell tech district, the perimeter/hospital district, Buckhead, Midtown and Downtown Atlanta. Along the fringes of those areas are some out of reach expensive areas and some hidden treasures.