A puddle that sits for two days after a storm is telling you something specific: water is arriving faster than the ground can take it, and it has nowhere to go once it lands. Fill dirt moves the puddle. It does not remove the water.
Start by finding the source. Roof water is the most common culprit in Brevard, and downspouts that dump right at the foundation are the usual reason a single corner of the yard stays wet while the rest dries. Neighboring properties, driveway runoff, and a low spot left behind by the builder are the other frequent causes.
Then find the outlet. This is the part most DIY drainage skips, and it is the part that decides whether the system works. Water has to go somewhere legal and lower: a daylight outlet at a grade break, a swale, a street-side pop-up emitter, or a dry well sized for your soil. If there is nowhere for the line to end, a trench full of stone is just a bathtub.
A French drain done properly is perforated pipe bedded in washed stone, wrapped in filter fabric so silt does not choke it, laid with consistent fall from the wet area to the outlet. Downspouts can tie into the same run in solid pipe. Once it is backfilled and the sod or paver field goes back over it, you should not be able to tell it is there.
One more thing worth planning: if you are already installing pavers, do the drainage at the same time. The trenching, the base work, and the grading all overlap, and running them together costs far less than opening the yard back up next year.