Our most popular general use product is called Talstar. It is widely used by pest control companies because it is labeled for almost every insect you could have a problem with and you can use it outside the home as well as inside, it is odorless and very safe for use around children and pets. It is a liquid concentrate that you mix with water in a one gallon hand pump sprayer. It will last for 60 to 90 days outside in between treatments. It is also labeled for lawn and ornamental use, and can be used on trees, plants, bushes and shrubs for all sorts of ornamental pests including Japanese beetles, mosquitoes, and other leaf eating pests. Talstar is also available in a granule formula called Talstar PL if you prefer to use granules.
We have a great article for doing your own pest control too: Do It Yourself Quarterly Pest Control
Talstar P is not labeled for general mites, though mange mites typically are on livestock or pets. For mange mites, we recommend Tengard SFR which could be used to treat the ground outside, as well as inside the home over a certain area. Tengard SFR can also be used on a dogs and other livestock (do not use on felines) to kill mites without harming the animal.