Amdro makes a bait that can be used on individual mounds...it is picked up pretty quickly by the ants so you don't have to worry so much about residue.
Also, I believe there is one called Once and Done...or Over and Out...I can't remember. Both, very effective.
It is important to treat fire ants at the right time of day--baits should be applied when ants are more active (cooler part of the day/evening). They lose effectiveness quickly in the high heat conditions.
Fire ants are best controlled through a two-step process: 1) baits and 2) mound control through poisons (or other physical means i.e. boiling water)
If you Google "two step fire ant control" you'll get a lot of recommendations for your area that emply both natural and synthetic means.
If or the babies do get stung...roll-on deodorant does a lot to remove the sting and help it dry up quickly. Does great on other bites too.