How long can asbestos stay in the air?

We bought a house a few months ago and had to pull the floor tiles. They were 9 inch tiles. Later i found out 9 inch tiles can contain asbestos. The place was built in the 50s so it is likely. We pulled the tiles 3 months ago. I didnt let my kids enter the house during this time or for some time after. When the tiles were replaced i wiped everything down ( ceiling to floor) removed the blinds from the windows and bought a HEPA filter air purifier.
I ran the HEPA filter in there and all the other rooms for a few months before letting the kids go back in the house. It has been 3 months since the tiles were removed, replaced and we have used the HEPA the whole time. Is there still any risk? We had to move in since we couldnt afford to pay rent and the house payment at the same time.
How long can it stay in the air and can it still be there 3 months after the fact and after using a HEPA air purifier? Are my kids at risk? Im still very nervous about this. Any info would be helpful. Thanks