I'm planning on tiling my kitchen floor which is bare concrete. However, I did a water test on the concrete and it's soiled to the point that water beads up on the surface. The floor most likely needs to be treated to ensure a proper bond with the tile, but I cannot seem to find any information on treating concrete indoors, particularly in a small kitchen. My concern is using any powerful acids indoors due to the fumes, pets in the home, and having large amounts of water on the floor to wash it off. I have read about grinding concrete but that would generate a lot of fine dust which I don't want to get into other parts of the house.
What is the safest way to get the concrete clean enough for tiling? For reference I do have large doors leading outside from the kitchen which helps for any ventilation needs.