Hello TraceyMc,
On which plants are you seeing these white specks or bugs? Are they lilies? If the plants are outside in the garden my first solution would be to shoot the bugs off which a strong spray from the garden hose. That usually works. Check again in a day or two and repeat the process.
Edited: Oops, I hit the 'finished' button too quickly.
If these are houseplants, put them into the bathtub and give them a shower to knock off the bugs.