Ants in general are beneficial insects, so I leave them alone except when the fire ants get into the raised beds in my veggie garden or when the fire ants are coming into the house. We have tons of ants here, and most of them are the imported fire ants that are very difficult to control, especially organically.

The organic fire ant control I use in the veggie garden is called Come and Get It and its active ingredient is Spinosad. It is fairly effective on fire ants. There is nothing organic that is 100% effective on fire ants, so I feel like this is the best of what is available that I have tried. I haven't tried it on other ants because I just ignore the other ants but the fire ants stings make them impossible to ignore. I just use it to treat a mound when one pops up in the garden.

Here's information on Come and Get It and similar fire ant baits with the same active ingredient:

Fire Ant Control with Come and Get It

The other organic ant control that has worked for us is called Advance. It contains the active ingredient Abamectin, and is effective on many different kinds of ants. We used it around the perimeter of the house last spring and summer when it was very wet in order to keep the ants from coming into the house. You need to apply it on a day when rain is not forecast to fall. Here's some information about Advance:

Advance with Abamectin

To control ants in a larger area (but not for use in most food-growing areas, though I believe it is labeled for use in almond orchards) you can broadcast Extinguish or Extinguish Plus (using a spreader on a very low-volume setting) which contains insect growth regulators. The manufacturer discontinued the small size of Extinguish that a homeowner would buy, though it still is available in very large bags for folks who use it on farms, ranches, golf courses, etc. so the next best option, still sold in affordable home-sized amounts, is Extinguish Plus. Here's info on Extinguish Plus:

Extinguish Plus Fire Ant Control

I don't feel like we ever really get rid of ants and the best we can do is just try to manage their population when they are found in places where we do not want them. I try to keep them out of the garden, away from the perimeter of the house, and away from the perimeter of the chicken and turkey coops and the fenced chicken and turkey runs. For the poultry areas I don't use granules or baits since the poultry would peck at them and eat them. I use Diatomaceous Earth broadcast on the ground around the poultry areas, or an orange oil based soil drench on mounds, usually Garrett Juice to which I've added extra orange oil (I use Medina orange oil). There also are commercial ant products available that contain oil orange. Orange Guard is one such product sold for fire ant control that contains orange oil. You can read more about research on the effectiveness of orange oil for fire ants here:

Mother Earth News: Fire Ant Control with Orange Oil

I also have had some luck diverting ants of all kinds by spraying the ground where their pathways run with a peppermint soap spray. I usually use Dr. Bronner's liquid peppermint soap at a rate of 1 T. of soap to 1 quart of water in a squire bottle and I spray it directly on the ground and not on plants other than grass. I don't think the soap necessarily kills the ants (unless they are on the path at the time I spray and in that case it might kill them by dissolving their exoskeleton) but ants seems to follow one another's scent trail, and the use of the peppermint spray seems to interfere in their ability to find and follow the scent trail. I've used this several times, especially in drought years, when (for whatever reason) the ants have begun to follow a trail that runs right beside our outdoor water hydrant, meaning I am likely to get bitten by them while standing there connecting the hose to the faucet or turning the water on or off. Spraying with peppermint soap spray must be repeated after rainfall as the rain washes it away.