Onslaught will kill bird mites, but the problem with bird mites is finding the breeding source. Onslaught may provide some relief, however many times mites will breed under carpet or in wall voids, where you cannot spray. This is why treating for mites is very difficult and usually requires multiple products and lots of vacuuming.
All of the professional liquid products we sell, including Onslaught, come in a concentrate form. You need to mix the product with water, usually in a one gallon hand pump sprayer. Please refer to the product label for more detailed application instructions. Onslaught is mixed at 0.5-1 fl oz per gallon of water per 1,000 sq ft.
According to the Onslaught product label, you can use Onslaught at the "heavy infestation" rate of 1 ounce per gallon of water every seven days. Gentrol is not labeled for mites and therefore is not recommended for bird mite infestations.
Each of the products you mentioned have different active ingredients, or different formulations and different manufacturers. So that we are comparing apples to apples, we will compare Onslaught and Conquer which both have the same active ingredient, Esfenvalerate and both are sold in pint size bottles. Conquer contains 3.48% of the active ingredient and Onslaught contains 6.40% of the active ingredient. You will use 1 ounce of Conquer to make 1 gallon of finished solution for flea control while you will only use .5 of Onslaught to make one finished gallon of solution for flea control. Conquer is labeled for about 50 insects, Onslaught is labeled for about 200. Onslaught also has the benefit of being micro-encapsulated which makes it safer to use indoors and makes it last longer outdoors.
Bifen is not a good choice for indoor flea control because it cannot be used over carpeting or on furniture It can only be used in cracks and crevices around the perimeter of the room. Demize EC is a great product, which offers a fast knockdown but it does not offer any residual control and it can only be used indoors.
Getting rid of the bird nest is always the best course of action. The bird mites that may have made it inside on your children will die very quickly due to lack of a food source and an appropriate environment. For outdoor treatments, you can use Onslaught Insecticide. You can spray your front and back yard but you cannot spray your patio furniture. Patio furniture should be washed with soap and water and allowed to dry in the sun.