The short answer, and the longer one
Warm-season sod, which is what almost every lawn in Floyd County is, establishes best from late spring through early autumn. The grass is actively growing, soil temperatures are up, and there is time to root before dormancy.
That is the short answer and it is genuinely useful. The longer answer is that the month matters much less than three other things: what is under the turf, whether the water leaves, and whether it gets watered for its first six weeks. A pallet laid in the perfect week onto uncorrected clay will fail. One laid in a mediocre week onto properly prepared ground will not.
Spring, summer, autumn, winter
Late spring is the strongest window. The grass is waking up, it has the whole growing season ahead of it, and by the time real heat arrives it has roots.
Summer works and is done constantly, but it commits you. Sod laid in July into Georgia heat needs consistent water and will not forgive a forgotten fortnight. This is the window where irrigation stops being a nice-to-have.
Early autumn is underrated. Air temperatures drop while the soil stays warm for weeks afterwards, which is close to ideal rooting conditions, and the establishment watering demand is far lower than in July. The constraint is the calendar: warm-season turf laid too close to the first frost goes dormant before it has anchored, and that is a bet on a mild winter.
Winter is dormant sod. It can be laid and it will generally take in spring, but it looks brown for months and it is easy to damage while it is not growing. There are reasons to do it, mostly construction schedules.
Which grass
Bermuda is the default here and it is the default for good reasons. It takes full sun and Georgia summers without complaint, it is hard-wearing, and it repairs itself from runners, which matters enormously on a lawn with children or dogs on it.
Zoysia is denser, finer and slower. It costs more to install and it recovers from damage at a pace that tests patience. On a property where the look is the point and the traffic is light, it is the better lawn.
Fescue is the cool-season option and it is a compromise here. It stays green through a Rome winter when bermuda is brown, and it struggles through a Rome July. It earns its place in genuine shade, where warm-season grass will not thrive anyway, and loses it in the open.
One thing worth knowing before choosing on appearance: bermuda and zoysia both go dormant and brown in winter. That is normal and not a failure, and it surprises people who chose from a photograph taken in June.
What has to happen before the pallets arrive
Drainage, if there is a water problem. Nothing else on this list matters if water stands.
Grade correction, pulling the surface away from the house and taking out the low spots that hold water and the high spots a mower will scalp.
Breaking the compaction pan, which on a new-build lot is the single most important step. Builder lots are scraped subsoil compacted by eight months of traffic, and sod laid on that roots sideways because it cannot go down.
Soil amendment and starter fertiliser worked into the top few inches, so there is something for roots to move into.
That work is most of the cost of a sod job and all of the reason it succeeds. The turf itself is the last afternoon.
The first six weeks
New sod is watered heavily and frequently at first, then progressively less often and more deeply. The goal is to pull roots downward: water that only ever wets the top inch produces a lawn whose roots stay in the top inch, which is a lawn that cannot survive its first dry spell on its own.
It should be rolled at installation so the roots make contact with the soil. Turf that lifts at the corners weeks later was never rolled.
Keep off it for about two weeks, and keep the mower off until it genuinely needs a cut rather than cutting to a schedule. The first cut should take the top off, not scalp it.
And step the watering down deliberately once it has knitted. An establishment schedule left running into the second season produces shallow roots and fungus, which looks like a completely different problem and is caused by kindness.