Animal cells destroy toxic particles by combination of endocytosis, lysosome digestion and exocytosis.
Firstly, cell encircles the toxin in a small vesicle by endocytosis. If cell senses that toxin in vicinity then cell membrane creates projections around it to create a vesicle that brings the toxin inside the cell in a small vesicle separated from rest of the cytoplasm and cell contents. This Process is endocytosis and the vesicle is called endocytic vesicle.
Once this vesicle is formed, lysosomes in the cell become active and secrete lysozymes or enzymes to break the down and destroy the toxin.
Endocytic vesicle slowly moves towards lysosomes and fuses with lysosomes, enzymes in lysosomes destroy those toxin particles and create non-functional residual bodies.
Residual bodies are again surrounded by newly formed vesicle, it is formed by membrane movement. The process is exocytosis and the vesicle is called exocytic vesicle the gradual moves towards the periphery of the cell and merges with cell membrane releasing residual bodies outside the cell.
This is how cell deals with toxins, bacterial, viral and other toxic particles.