Depending upon the area they share, it may not be a problem. We have fire ants in the front yard, outside of the fenced area used by the chickens. The ants don't come inside, from what I can tell.
To control fire ants, that is to keep them somewhere that is not a problem for me, I physically damage the mound several days in a row. Generally, they move elsewhere.
Our truce agreement is they can build in the flower bed, but not in the grass.
In the past, I have had success with a dose of Malathion in a bucket of water carefully poured into the center of the mound. This treatment usually kills the colony, but they are persistent and another mound will eventually develop in another location. I don't know if this means that not all the ants died, so the colony recovered, or if another colony moved in.