Yes, Bifen IT can be used in a hose end sprayer. You will use 1 fl. oz. of solution and 5.5 ml of Nyguard IGR per gallon of water. You will put the concentrate directly into the cannister, and the tube will automatically use how much you have on the dial. It will disperse with each gallon that comes through the hose. You will need to be as accurate as possible when using this method. Please let us know if you have any additional questions.
Indoors, Bifen IT is only labeled to be used as a crack and crevice to baseboards, corners, storage areas, closets, around water pipes, doors and windows, behind and under refrigerators, cabinets, sinks, furnaces, stoves, the underside of shelves, drawers and similar areas. Bifen IT is great for outdoor control of Noseeums.
Along with vacuuming the carpeted areas daily, using a product called Microcare will provide you with a fast knockdown and kill flying insects which will give you immediate relief.
You can read our article on how to treat Noseeums here.
We are not sure what type of worm would be considered a "red worm" as you have described.  If you are referring to earthworms, Bifen IT is not labeled for earthworms, because they are a beneficial but it may cause harm to them if they contact a treated area.  Though they are pretty protected by the mucus on their bodies. This small amount of product needed to kill tiny insects would not be enough to harm a bird if they were to ingest a worm that would have contacted the product.
We do sell professional Roach Bait Gel and Ant Bait Gel. Follow the links to which ever one you are inquiring about. We also carry bait granules and insecticide granules for pest control. Please read the labels for specific instructions on application.